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Finding the Fourth Proportional to 160.56, 221.49 and 127.76

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Solution

The fourth proportional to 160.56, 221.49 and 127.76 is: 176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.56 : 221.49 = 127.76 : x
  2. Step 2: Convert to fraction form
    160.56/221.49 = 127.76/x
  3. Step 3: Cross multiply
    160.56x = 221.49 × 127.76
  4. Step 4: Simplify right side
    160.56x = 28,296.45
  5. Step 5: Solve for x
    x = 28,296.45/160.56
  6. Step 6: Final answer
    x = 176.24

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