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Finding the Fourth Proportional to 219.71, 302.96 and 157.71

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Solution

The fourth proportional to 219.71, 302.96 and 157.71 is: 217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.71 : 302.96 = 157.71 : x
  2. Step 2: Convert to fraction form
    219.71/302.96 = 157.71/x
  3. Step 3: Cross multiply
    219.71x = 302.96 × 157.71
  4. Step 4: Simplify right side
    219.71x = 47,780.22
  5. Step 5: Solve for x
    x = 47,780.22/219.71
  6. Step 6: Final answer
    x = 217.47

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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.