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Finding the Fourth Proportional to 185.92, 277.65 and 160.32

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Solution

The fourth proportional to 185.92, 277.65 and 160.32 is: 239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 277.65 = 160.32 : x
  2. Step 2: Convert to fraction form
    185.92/277.65 = 160.32/x
  3. Step 3: Cross multiply
    185.92x = 277.65 × 160.32
  4. Step 4: Simplify right side
    185.92x = 44,512.85
  5. Step 5: Solve for x
    x = 44,512.85/185.92
  6. Step 6: Final answer
    x = 239.42

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Why These Related Problems?

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