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Finding the Fourth Proportional to 214.63, 296.10 and 140.92

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Solution

The fourth proportional to 214.63, 296.10 and 140.92 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 296.10 = 140.92 : x
  2. Step 2: Convert to fraction form
    214.63/296.10 = 140.92/x
  3. Step 3: Cross multiply
    214.63x = 296.10 × 140.92
  4. Step 4: Simplify right side
    214.63x = 41,726.41
  5. Step 5: Solve for x
    x = 41,726.41/214.63
  6. Step 6: Final answer
    x = 194.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.