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Finding the Fourth Proportional to 214.78, 296.37 and 137.14

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Solution

The fourth proportional to 214.78, 296.37 and 137.14 is: 189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 296.37 = 137.14 : x
  2. Step 2: Convert to fraction form
    214.78/296.37 = 137.14/x
  3. Step 3: Cross multiply
    214.78x = 296.37 × 137.14
  4. Step 4: Simplify right side
    214.78x = 40,644.18
  5. Step 5: Solve for x
    x = 40,644.18/214.78
  6. Step 6: Final answer
    x = 189.24

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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.