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Finding the Fourth Proportional to 174.67, 261.97 and 93.47

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Solution

The fourth proportional to 174.67, 261.97 and 93.47 is: 140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.67 : 261.97 = 93.47 : x
  2. Step 2: Convert to fraction form
    174.67/261.97 = 93.47/x
  3. Step 3: Cross multiply
    174.67x = 261.97 × 93.47
  4. Step 4: Simplify right side
    174.67x = 24,484.79
  5. Step 5: Solve for x
    x = 24,484.79/174.67
  6. Step 6: Final answer
    x = 140.18

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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.