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Finding the Fourth Proportional to 141.94, 211.48 and 132.63

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Solution

The fourth proportional to 141.94, 211.48 and 132.63 is: 197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.94 : 211.48 = 132.63 : x
  2. Step 2: Convert to fraction form
    141.94/211.48 = 132.63/x
  3. Step 3: Cross multiply
    141.94x = 211.48 × 132.63
  4. Step 4: Simplify right side
    141.94x = 28,048.59
  5. Step 5: Solve for x
    x = 28,048.59/141.94
  6. Step 6: Final answer
    x = 197.61

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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.