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Finding the Fourth Proportional to 214.74, 296.33 and 121.48

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Solution

The fourth proportional to 214.74, 296.33 and 121.48 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 296.33 = 121.48 : x
  2. Step 2: Convert to fraction form
    214.74/296.33 = 121.48/x
  3. Step 3: Cross multiply
    214.74x = 296.33 × 121.48
  4. Step 4: Simplify right side
    214.74x = 35,998.17
  5. Step 5: Solve for x
    x = 35,998.17/214.74
  6. Step 6: Final answer
    x = 167.64

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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.