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Finding the Fourth Proportional to 214.72, 296.36 and 158.88

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Solution

The fourth proportional to 214.72, 296.36 and 158.88 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 296.36 = 158.88 : x
  2. Step 2: Convert to fraction form
    214.72/296.36 = 158.88/x
  3. Step 3: Cross multiply
    214.72x = 296.36 × 158.88
  4. Step 4: Simplify right side
    214.72x = 47,085.68
  5. Step 5: Solve for x
    x = 47,085.68/214.72
  6. Step 6: Final answer
    x = 219.29

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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.