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Finding the Fourth Proportional to 214.59, 296.27 and 131.78

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Solution

The fourth proportional to 214.59, 296.27 and 131.78 is: 181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.59 : 296.27 = 131.78 : x
  2. Step 2: Convert to fraction form
    214.59/296.27 = 131.78/x
  3. Step 3: Cross multiply
    214.59x = 296.27 × 131.78
  4. Step 4: Simplify right side
    214.59x = 39,042.46
  5. Step 5: Solve for x
    x = 39,042.46/214.59
  6. Step 6: Final answer
    x = 181.94

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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.