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Finding the Fourth Proportional to 160.34, 240.29 and 116.75

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Solution

The fourth proportional to 160.34, 240.29 and 116.75 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.34 : 240.29 = 116.75 : x
  2. Step 2: Convert to fraction form
    160.34/240.29 = 116.75/x
  3. Step 3: Cross multiply
    160.34x = 240.29 × 116.75
  4. Step 4: Simplify right side
    160.34x = 28,053.86
  5. Step 5: Solve for x
    x = 28,053.86/160.34
  6. Step 6: Final answer
    x = 174.96

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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.