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Finding the Fourth Proportional to 498.87, 748.07 and 152.15

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Solution

The fourth proportional to 498.87, 748.07 and 152.15 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.87 : 748.07 = 152.15 : x
  2. Step 2: Convert to fraction form
    498.87/748.07 = 152.15/x
  3. Step 3: Cross multiply
    498.87x = 748.07 × 152.15
  4. Step 4: Simplify right side
    498.87x = 113,814.35
  5. Step 5: Solve for x
    x = 113,814.35/498.87
  6. Step 6: Final answer
    x = 228.14

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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.