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Finding the Fourth Proportional to 212.25, 318.18 and 88.85

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Solution

The fourth proportional to 212.25, 318.18 and 88.85 is: 133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 318.18 = 88.85 : x
  2. Step 2: Convert to fraction form
    212.25/318.18 = 88.85/x
  3. Step 3: Cross multiply
    212.25x = 318.18 × 88.85
  4. Step 4: Simplify right side
    212.25x = 28,268.70
  5. Step 5: Solve for x
    x = 28,268.70/212.25
  6. Step 6: Final answer
    x = 133.19

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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.