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Finding the Fourth Proportional to 214.81, 296.42 and 121.57

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Solution

The fourth proportional to 214.81, 296.42 and 121.57 is: 167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 296.42 = 121.57 : x
  2. Step 2: Convert to fraction form
    214.81/296.42 = 121.57/x
  3. Step 3: Cross multiply
    214.81x = 296.42 × 121.57
  4. Step 4: Simplify right side
    214.81x = 36,035.78
  5. Step 5: Solve for x
    x = 36,035.78/214.81
  6. Step 6: Final answer
    x = 167.76

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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.