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Finding the Fourth Proportional to 218.89, 302.16 and 135.97

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Solution

The fourth proportional to 218.89, 302.16 and 135.97 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.89 : 302.16 = 135.97 : x
  2. Step 2: Convert to fraction form
    218.89/302.16 = 135.97/x
  3. Step 3: Cross multiply
    218.89x = 302.16 × 135.97
  4. Step 4: Simplify right side
    218.89x = 41,084.70
  5. Step 5: Solve for x
    x = 41,084.70/218.89
  6. Step 6: Final answer
    x = 187.70

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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.