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Finding the Fourth Proportional to 214.87, 296.56 and 121.61

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Solution

The fourth proportional to 214.87, 296.56 and 121.61 is: 167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.87 : 296.56 = 121.61 : x
  2. Step 2: Convert to fraction form
    214.87/296.56 = 121.61/x
  3. Step 3: Cross multiply
    214.87x = 296.56 × 121.61
  4. Step 4: Simplify right side
    214.87x = 36,064.66
  5. Step 5: Solve for x
    x = 36,064.66/214.87
  6. Step 6: Final answer
    x = 167.84

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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.