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Finding the Fourth Proportional to 219.65, 303.09 and 132.30

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Solution

The fourth proportional to 219.65, 303.09 and 132.30 is: 182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.65 : 303.09 = 132.30 : x
  2. Step 2: Convert to fraction form
    219.65/303.09 = 132.30/x
  3. Step 3: Cross multiply
    219.65x = 303.09 × 132.30
  4. Step 4: Simplify right side
    219.65x = 40,098.81
  5. Step 5: Solve for x
    x = 40,098.81/219.65
  6. Step 6: Final answer
    x = 182.56

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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.