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Finding the Fourth Proportional to 160.61, 221.47 and 140.76

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Solution

The fourth proportional to 160.61, 221.47 and 140.76 is: 194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.61 : 221.47 = 140.76 : x
  2. Step 2: Convert to fraction form
    160.61/221.47 = 140.76/x
  3. Step 3: Cross multiply
    160.61x = 221.47 × 140.76
  4. Step 4: Simplify right side
    160.61x = 31,173.77
  5. Step 5: Solve for x
    x = 31,173.77/160.61
  6. Step 6: Final answer
    x = 194.10

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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.