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Finding the Fourth Proportional to 141.14, 210.60 and 138.04

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Solution

The fourth proportional to 141.14, 210.60 and 138.04 is: 205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.14 : 210.60 = 138.04 : x
  2. Step 2: Convert to fraction form
    141.14/210.60 = 138.04/x
  3. Step 3: Cross multiply
    141.14x = 210.60 × 138.04
  4. Step 4: Simplify right side
    141.14x = 29,070.70
  5. Step 5: Solve for x
    x = 29,070.70/141.14
  6. Step 6: Final answer
    x = 205.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.