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Finding the Fourth Proportional to 215.42, 297.27 and 117.18

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Solution

The fourth proportional to 215.42, 297.27 and 117.18 is: 161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 297.27 = 117.18 : x
  2. Step 2: Convert to fraction form
    215.42/297.27 = 117.18/x
  3. Step 3: Cross multiply
    215.42x = 297.27 × 117.18
  4. Step 4: Simplify right side
    215.42x = 34,834.10
  5. Step 5: Solve for x
    x = 34,834.10/215.42
  6. Step 6: Final answer
    x = 161.70

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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.