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Finding the Fourth Proportional to 523.48, 784.92 and 158.16

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Solution

The fourth proportional to 523.48, 784.92 and 158.16 is: 237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 784.92 = 158.16 : x
  2. Step 2: Convert to fraction form
    523.48/784.92 = 158.16/x
  3. Step 3: Cross multiply
    523.48x = 784.92 × 158.16
  4. Step 4: Simplify right side
    523.48x = 124,142.95
  5. Step 5: Solve for x
    x = 124,142.95/523.48
  6. Step 6: Final answer
    x = 237.15

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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.