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Finding the Fourth Proportional to 219.14, 328.49 and 82.10

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Solution

The fourth proportional to 219.14, 328.49 and 82.10 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 328.49 = 82.10 : x
  2. Step 2: Convert to fraction form
    219.14/328.49 = 82.10/x
  3. Step 3: Cross multiply
    219.14x = 328.49 × 82.10
  4. Step 4: Simplify right side
    219.14x = 26,968.62
  5. Step 5: Solve for x
    x = 26,968.62/219.14
  6. Step 6: Final answer
    x = 123.07

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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.