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Finding the Fourth Proportional to 174.14, 261.14 and 92.93

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Solution

The fourth proportional to 174.14, 261.14 and 92.93 is: 139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.14 : 261.14 = 92.93 : x
  2. Step 2: Convert to fraction form
    174.14/261.14 = 92.93/x
  3. Step 3: Cross multiply
    174.14x = 261.14 × 92.93
  4. Step 4: Simplify right side
    174.14x = 24,267.93
  5. Step 5: Solve for x
    x = 24,267.93/174.14
  6. Step 6: Final answer
    x = 139.36

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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.