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Finding the Fourth Proportional to 214.69, 296.25 and 121.41

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Solution

The fourth proportional to 214.69, 296.25 and 121.41 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.69 : 296.25 = 121.41 : x
  2. Step 2: Convert to fraction form
    214.69/296.25 = 121.41/x
  3. Step 3: Cross multiply
    214.69x = 296.25 × 121.41
  4. Step 4: Simplify right side
    214.69x = 35,967.71
  5. Step 5: Solve for x
    x = 35,967.71/214.69
  6. Step 6: Final answer
    x = 167.53

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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.