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Finding the Fourth Proportional to 498.33, 747.52 and 133.11

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Solution

The fourth proportional to 498.33, 747.52 and 133.11 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.33 : 747.52 = 133.11 : x
  2. Step 2: Convert to fraction form
    498.33/747.52 = 133.11/x
  3. Step 3: Cross multiply
    498.33x = 747.52 × 133.11
  4. Step 4: Simplify right side
    498.33x = 99,502.05
  5. Step 5: Solve for x
    x = 99,502.05/498.33
  6. Step 6: Final answer
    x = 199.67

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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.