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Finding the Fourth Proportional to 175.71, 242.96 and 160.05

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Solution

The fourth proportional to 175.71, 242.96 and 160.05 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 242.96 = 160.05 : x
  2. Step 2: Convert to fraction form
    175.71/242.96 = 160.05/x
  3. Step 3: Cross multiply
    175.71x = 242.96 × 160.05
  4. Step 4: Simplify right side
    175.71x = 38,884.95
  5. Step 5: Solve for x
    x = 38,884.95/175.71
  6. Step 6: Final answer
    x = 221.30

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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.