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Finding the Fourth Proportional to 494.80, 742.14 and 152.80

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Solution

The fourth proportional to 494.80, 742.14 and 152.80 is: 229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.80 : 742.14 = 152.80 : x
  2. Step 2: Convert to fraction form
    494.80/742.14 = 152.80/x
  3. Step 3: Cross multiply
    494.80x = 742.14 × 152.80
  4. Step 4: Simplify right side
    494.80x = 113,398.99
  5. Step 5: Solve for x
    x = 113,398.99/494.80
  6. Step 6: Final answer
    x = 229.18

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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.