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Finding the Fourth Proportional to 141.33, 211.65 and 116.80

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Solution

The fourth proportional to 141.33, 211.65 and 116.80 is: 174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.33 : 211.65 = 116.80 : x
  2. Step 2: Convert to fraction form
    141.33/211.65 = 116.80/x
  3. Step 3: Cross multiply
    141.33x = 211.65 × 116.80
  4. Step 4: Simplify right side
    141.33x = 24,720.72
  5. Step 5: Solve for x
    x = 24,720.72/141.33
  6. Step 6: Final answer
    x = 174.91

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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.