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Finding the Fourth Proportional to 214.89, 296.50 and 121.63

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Solution

The fourth proportional to 214.89, 296.50 and 121.63 is: 167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.89 : 296.50 = 121.63 : x
  2. Step 2: Convert to fraction form
    214.89/296.50 = 121.63/x
  3. Step 3: Cross multiply
    214.89x = 296.50 × 121.63
  4. Step 4: Simplify right side
    214.89x = 36,063.30
  5. Step 5: Solve for x
    x = 36,063.30/214.89
  6. Step 6: Final answer
    x = 167.82

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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.