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Finding the Fourth Proportional to 214.89, 296.61 and 137.31

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Solution

The fourth proportional to 214.89, 296.61 and 137.31 is: 189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.89 : 296.61 = 137.31 : x
  2. Step 2: Convert to fraction form
    214.89/296.61 = 137.31/x
  3. Step 3: Cross multiply
    214.89x = 296.61 × 137.31
  4. Step 4: Simplify right side
    214.89x = 40,727.52
  5. Step 5: Solve for x
    x = 40,727.52/214.89
  6. Step 6: Final answer
    x = 189.53

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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.