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Finding the Fourth Proportional to 499.52, 749.16 and 152.78

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Solution

The fourth proportional to 499.52, 749.16 and 152.78 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.52 : 749.16 = 152.78 : x
  2. Step 2: Convert to fraction form
    499.52/749.16 = 152.78/x
  3. Step 3: Cross multiply
    499.52x = 749.16 × 152.78
  4. Step 4: Simplify right side
    499.52x = 114,456.66
  5. Step 5: Solve for x
    x = 114,456.66/499.52
  6. Step 6: Final answer
    x = 229.13

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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.