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Finding the Fourth Proportional to 160.76, 221.90 and 136.28

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Solution

The fourth proportional to 160.76, 221.90 and 136.28 is: 188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.76 : 221.90 = 136.28 : x
  2. Step 2: Convert to fraction form
    160.76/221.90 = 136.28/x
  3. Step 3: Cross multiply
    160.76x = 221.90 × 136.28
  4. Step 4: Simplify right side
    160.76x = 30,240.53
  5. Step 5: Solve for x
    x = 30,240.53/160.76
  6. Step 6: Final answer
    x = 188.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.