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Finding the Fourth Proportional to 261.38, 392.24 and 117.09

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Solution

The fourth proportional to 261.38, 392.24 and 117.09 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 392.24 = 117.09 : x
  2. Step 2: Convert to fraction form
    261.38/392.24 = 117.09/x
  3. Step 3: Cross multiply
    261.38x = 392.24 × 117.09
  4. Step 4: Simplify right side
    261.38x = 45,926.80
  5. Step 5: Solve for x
    x = 45,926.80/261.38
  6. Step 6: Final answer
    x = 175.71

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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.