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Finding the Fourth Proportional to 140.32, 211.63 and 125.26

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Solution

The fourth proportional to 140.32, 211.63 and 125.26 is: 188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.32 : 211.63 = 125.26 : x
  2. Step 2: Convert to fraction form
    140.32/211.63 = 125.26/x
  3. Step 3: Cross multiply
    140.32x = 211.63 × 125.26
  4. Step 4: Simplify right side
    140.32x = 26,508.77
  5. Step 5: Solve for x
    x = 26,508.77/140.32
  6. Step 6: Final answer
    x = 188.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.