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Finding the Fourth Proportional to 524.20, 786.16 and 158.98

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Solution

The fourth proportional to 524.20, 786.16 and 158.98 is: 238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 786.16 = 158.98 : x
  2. Step 2: Convert to fraction form
    524.20/786.16 = 158.98/x
  3. Step 3: Cross multiply
    524.20x = 786.16 × 158.98
  4. Step 4: Simplify right side
    524.20x = 124,983.72
  5. Step 5: Solve for x
    x = 124,983.72/524.20
  6. Step 6: Final answer
    x = 238.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.