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Finding the Fourth Proportional to 215.60, 323.98 and 118.18

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Solution

The fourth proportional to 215.60, 323.98 and 118.18 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.60 : 323.98 = 118.18 : x
  2. Step 2: Convert to fraction form
    215.60/323.98 = 118.18/x
  3. Step 3: Cross multiply
    215.60x = 323.98 × 118.18
  4. Step 4: Simplify right side
    215.60x = 38,287.96
  5. Step 5: Solve for x
    x = 38,287.96/215.60
  6. Step 6: Final answer
    x = 177.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.