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Finding the Fourth Proportional to 523.98, 785.98 and 158.78

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Solution

The fourth proportional to 523.98, 785.98 and 158.78 is: 238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.98 : 785.98 = 158.78 : x
  2. Step 2: Convert to fraction form
    523.98/785.98 = 158.78/x
  3. Step 3: Cross multiply
    523.98x = 785.98 × 158.78
  4. Step 4: Simplify right side
    523.98x = 124,797.90
  5. Step 5: Solve for x
    x = 124,797.90/523.98
  6. Step 6: Final answer
    x = 238.17

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