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Finding the Fourth Proportional to 174.29, 260.15 and 159.86

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Solution

The fourth proportional to 174.29, 260.15 and 159.86 is: 238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.29 : 260.15 = 159.86 : x
  2. Step 2: Convert to fraction form
    174.29/260.15 = 159.86/x
  3. Step 3: Cross multiply
    174.29x = 260.15 × 159.86
  4. Step 4: Simplify right side
    174.29x = 41,587.58
  5. Step 5: Solve for x
    x = 41,587.58/174.29
  6. Step 6: Final answer
    x = 238.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.