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Finding the Fourth Proportional to 219.12, 328.73 and 82.13

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Solution

The fourth proportional to 219.12, 328.73 and 82.13 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.12 : 328.73 = 82.13 : x
  2. Step 2: Convert to fraction form
    219.12/328.73 = 82.13/x
  3. Step 3: Cross multiply
    219.12x = 328.73 × 82.13
  4. Step 4: Simplify right side
    219.12x = 26,999.01
  5. Step 5: Solve for x
    x = 26,999.01/219.12
  6. Step 6: Final answer
    x = 123.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.