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Finding the Fourth Proportional to 214.96, 296.24 and 159.52

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Solution

The fourth proportional to 214.96, 296.24 and 159.52 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 296.24 = 159.52 : x
  2. Step 2: Convert to fraction form
    214.96/296.24 = 159.52/x
  3. Step 3: Cross multiply
    214.96x = 296.24 × 159.52
  4. Step 4: Simplify right side
    214.96x = 47,256.20
  5. Step 5: Solve for x
    x = 47,256.20/214.96
  6. Step 6: Final answer
    x = 219.84

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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.