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Finding the Fourth Proportional to 219.47, 302.96 and 132.13

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Solution

The fourth proportional to 219.47, 302.96 and 132.13 is: 182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.47 : 302.96 = 132.13 : x
  2. Step 2: Convert to fraction form
    219.47/302.96 = 132.13/x
  3. Step 3: Cross multiply
    219.47x = 302.96 × 132.13
  4. Step 4: Simplify right side
    219.47x = 40,027.93
  5. Step 5: Solve for x
    x = 40,027.93/219.47
  6. Step 6: Final answer
    x = 182.38

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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.