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Finding the Fourth Proportional to 141.88, 212.88 and 135.86

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Solution

The fourth proportional to 141.88, 212.88 and 135.86 is: 203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.88 : 212.88 = 135.86 : x
  2. Step 2: Convert to fraction form
    141.88/212.88 = 135.86/x
  3. Step 3: Cross multiply
    141.88x = 212.88 × 135.86
  4. Step 4: Simplify right side
    141.88x = 28,920.81
  5. Step 5: Solve for x
    x = 28,920.81/141.88
  6. Step 6: Final answer
    x = 203.85

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