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Finding the Fourth Proportional to 141.66, 211.95 and 126.63

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Solution

The fourth proportional to 141.66, 211.95 and 126.63 is: 189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 211.95 = 126.63 : x
  2. Step 2: Convert to fraction form
    141.66/211.95 = 126.63/x
  3. Step 3: Cross multiply
    141.66x = 211.95 × 126.63
  4. Step 4: Simplify right side
    141.66x = 26,839.23
  5. Step 5: Solve for x
    x = 26,839.23/141.66
  6. Step 6: Final answer
    x = 189.46

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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.