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Finding the Fourth Proportional to 215.52, 297.60 and 160.35

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Solution

The fourth proportional to 215.52, 297.60 and 160.35 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 297.60 = 160.35 : x
  2. Step 2: Convert to fraction form
    215.52/297.60 = 160.35/x
  3. Step 3: Cross multiply
    215.52x = 297.60 × 160.35
  4. Step 4: Simplify right side
    215.52x = 47,720.16
  5. Step 5: Solve for x
    x = 47,720.16/215.52
  6. Step 6: Final answer
    x = 221.42

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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.