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Finding the Fourth Proportional to 524, 786.16 and 158.78

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Solution

The fourth proportional to 524, 786.16 and 158.78 is: 238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 786.16 = 158.78 : x
  2. Step 2: Convert to fraction form
    524/786.16 = 158.78/x
  3. Step 3: Cross multiply
    524x = 786.16 × 158.78
  4. Step 4: Simplify right side
    524x = 124,826.48
  5. Step 5: Solve for x
    x = 124,826.48/524
  6. Step 6: Final answer
    x = 238.22

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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.