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Finding the Fourth Proportional to 214.71, 296.30 and 121.46

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Solution

The fourth proportional to 214.71, 296.30 and 121.46 is: 167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 296.30 = 121.46 : x
  2. Step 2: Convert to fraction form
    214.71/296.30 = 121.46/x
  3. Step 3: Cross multiply
    214.71x = 296.30 × 121.46
  4. Step 4: Simplify right side
    214.71x = 35,988.86
  5. Step 5: Solve for x
    x = 35,988.86/214.71
  6. Step 6: Final answer
    x = 167.61

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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.