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Finding the Fourth Proportional to 215.71, 297.45 and 160.55

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Solution

The fourth proportional to 215.71, 297.45 and 160.55 is: 221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.71 : 297.45 = 160.55 : x
  2. Step 2: Convert to fraction form
    215.71/297.45 = 160.55/x
  3. Step 3: Cross multiply
    215.71x = 297.45 × 160.55
  4. Step 4: Simplify right side
    215.71x = 47,755.60
  5. Step 5: Solve for x
    x = 47,755.60/215.71
  6. Step 6: Final answer
    x = 221.39

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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.