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Finding the Fourth Proportional to 292.74, 439.17 and 130.43

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Solution

The fourth proportional to 292.74, 439.17 and 130.43 is: 195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 439.17 = 130.43 : x
  2. Step 2: Convert to fraction form
    292.74/439.17 = 130.43/x
  3. Step 3: Cross multiply
    292.74x = 439.17 × 130.43
  4. Step 4: Simplify right side
    292.74x = 57,278.75
  5. Step 5: Solve for x
    x = 57,278.75/292.74
  6. Step 6: Final answer
    x = 195.66

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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.