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Finding the Fourth Proportional to 214.76, 296.38 and 137.14

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Solution

The fourth proportional to 214.76, 296.38 and 137.14 is: 189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.76 : 296.38 = 137.14 : x
  2. Step 2: Convert to fraction form
    214.76/296.38 = 137.14/x
  3. Step 3: Cross multiply
    214.76x = 296.38 × 137.14
  4. Step 4: Simplify right side
    214.76x = 40,645.55
  5. Step 5: Solve for x
    x = 40,645.55/214.76
  6. Step 6: Final answer
    x = 189.26

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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.