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Finding the Fourth Proportional to 214.92, 296.48 and 141.32

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Solution

The fourth proportional to 214.92, 296.48 and 141.32 is: 194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 296.48 = 141.32 : x
  2. Step 2: Convert to fraction form
    214.92/296.48 = 141.32/x
  3. Step 3: Cross multiply
    214.92x = 296.48 × 141.32
  4. Step 4: Simplify right side
    214.92x = 41,898.55
  5. Step 5: Solve for x
    x = 41,898.55/214.92
  6. Step 6: Final answer
    x = 194.95

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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.