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Finding the Fourth Proportional to 499.92, 749.86 and 153.25

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Solution

The fourth proportional to 499.92, 749.86 and 153.25 is: 229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 749.86 = 153.25 : x
  2. Step 2: Convert to fraction form
    499.92/749.86 = 153.25/x
  3. Step 3: Cross multiply
    499.92x = 749.86 × 153.25
  4. Step 4: Simplify right side
    499.92x = 114,913.79
  5. Step 5: Solve for x
    x = 114,913.79/499.92
  6. Step 6: Final answer
    x = 229.87

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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.