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Finding the Fourth Proportional to 214.98, 296.71 and 132.14

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Solution

The fourth proportional to 214.98, 296.71 and 132.14 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.98 : 296.71 = 132.14 : x
  2. Step 2: Convert to fraction form
    214.98/296.71 = 132.14/x
  3. Step 3: Cross multiply
    214.98x = 296.71 × 132.14
  4. Step 4: Simplify right side
    214.98x = 39,205.12
  5. Step 5: Solve for x
    x = 39,205.12/214.98
  6. Step 6: Final answer
    x = 182.37

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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.