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Finding the Fourth Proportional to 523.46, 784.98 and 158.15

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Solution

The fourth proportional to 523.46, 784.98 and 158.15 is: 237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.46 : 784.98 = 158.15 : x
  2. Step 2: Convert to fraction form
    523.46/784.98 = 158.15/x
  3. Step 3: Cross multiply
    523.46x = 784.98 × 158.15
  4. Step 4: Simplify right side
    523.46x = 124,140.66
  5. Step 5: Solve for x
    x = 124,140.66/523.46
  6. Step 6: Final answer
    x = 237.16

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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.