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Finding the Fourth Proportional to 160.05, 240.23 and 114.49

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Solution

The fourth proportional to 160.05, 240.23 and 114.49 is: 171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 240.23 = 114.49 : x
  2. Step 2: Convert to fraction form
    160.05/240.23 = 114.49/x
  3. Step 3: Cross multiply
    160.05x = 240.23 × 114.49
  4. Step 4: Simplify right side
    160.05x = 27,503.93
  5. Step 5: Solve for x
    x = 27,503.93/160.05
  6. Step 6: Final answer
    x = 171.85

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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.