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Finding the Fourth Proportional to 174.24, 260.97 and 135.61

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Solution

The fourth proportional to 174.24, 260.97 and 135.61 is: 203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 260.97 = 135.61 : x
  2. Step 2: Convert to fraction form
    174.24/260.97 = 135.61/x
  3. Step 3: Cross multiply
    174.24x = 260.97 × 135.61
  4. Step 4: Simplify right side
    174.24x = 35,390.14
  5. Step 5: Solve for x
    x = 35,390.14/174.24
  6. Step 6: Final answer
    x = 203.11

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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.