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Finding the Fourth Proportional to 141.75, 211.66 and 130.82

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Solution

The fourth proportional to 141.75, 211.66 and 130.82 is: 195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 211.66 = 130.82 : x
  2. Step 2: Convert to fraction form
    141.75/211.66 = 130.82/x
  3. Step 3: Cross multiply
    141.75x = 211.66 × 130.82
  4. Step 4: Simplify right side
    141.75x = 27,688.71
  5. Step 5: Solve for x
    x = 27,688.71/141.75
  6. Step 6: Final answer
    x = 195.33

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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.