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Finding the Fourth Proportional to 494.80, 742.19 and 148.13

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Solution

The fourth proportional to 494.80, 742.19 and 148.13 is: 222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.80 : 742.19 = 148.13 : x
  2. Step 2: Convert to fraction form
    494.80/742.19 = 148.13/x
  3. Step 3: Cross multiply
    494.80x = 742.19 × 148.13
  4. Step 4: Simplify right side
    494.80x = 109,937.26
  5. Step 5: Solve for x
    x = 109,937.26/494.80
  6. Step 6: Final answer
    x = 222.19

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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.