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Finding the Fourth Proportional to 174.31, 260.98 and 109.13

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Solution

The fourth proportional to 174.31, 260.98 and 109.13 is: 163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.31 : 260.98 = 109.13 : x
  2. Step 2: Convert to fraction form
    174.31/260.98 = 109.13/x
  3. Step 3: Cross multiply
    174.31x = 260.98 × 109.13
  4. Step 4: Simplify right side
    174.31x = 28,479.17
  5. Step 5: Solve for x
    x = 28,479.17/174.31
  6. Step 6: Final answer
    x = 163.38

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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.