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Finding the Fourth Proportional to 219.45, 302.83 and 132.17

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Solution

The fourth proportional to 219.45, 302.83 and 132.17 is: 182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.45 : 302.83 = 132.17 : x
  2. Step 2: Convert to fraction form
    219.45/302.83 = 132.17/x
  3. Step 3: Cross multiply
    219.45x = 302.83 × 132.17
  4. Step 4: Simplify right side
    219.45x = 40,025.04
  5. Step 5: Solve for x
    x = 40,025.04/219.45
  6. Step 6: Final answer
    x = 182.39

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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.