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Finding the Fourth Proportional to 214.56, 296.08 and 121.32

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Solution

The fourth proportional to 214.56, 296.08 and 121.32 is: 167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 296.08 = 121.32 : x
  2. Step 2: Convert to fraction form
    214.56/296.08 = 121.32/x
  3. Step 3: Cross multiply
    214.56x = 296.08 × 121.32
  4. Step 4: Simplify right side
    214.56x = 35,920.43
  5. Step 5: Solve for x
    x = 35,920.43/214.56
  6. Step 6: Final answer
    x = 167.41

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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.