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Finding the Fourth Proportional to 214.76, 296.32 and 126.21

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Solution

The fourth proportional to 214.76, 296.32 and 126.21 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.76 : 296.32 = 126.21 : x
  2. Step 2: Convert to fraction form
    214.76/296.32 = 126.21/x
  3. Step 3: Cross multiply
    214.76x = 296.32 × 126.21
  4. Step 4: Simplify right side
    214.76x = 37,398.55
  5. Step 5: Solve for x
    x = 37,398.55/214.76
  6. Step 6: Final answer
    x = 174.14

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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.