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Finding the Fourth Proportional to 500.34, 750.52 and 158.34

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Solution

The fourth proportional to 500.34, 750.52 and 158.34 is: 237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 750.52 = 158.34 : x
  2. Step 2: Convert to fraction form
    500.34/750.52 = 158.34/x
  3. Step 3: Cross multiply
    500.34x = 750.52 × 158.34
  4. Step 4: Simplify right side
    500.34x = 118,839.46
  5. Step 5: Solve for x
    x = 118,839.46/500.34
  6. Step 6: Final answer
    x = 237.52

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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.