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Finding the Fourth Proportional to 219.42, 329.49 and 183.30

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Solution

The fourth proportional to 219.42, 329.49 and 183.30 is: 275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 329.49 = 183.30 : x
  2. Step 2: Convert to fraction form
    219.42/329.49 = 183.30/x
  3. Step 3: Cross multiply
    219.42x = 329.49 × 183.30
  4. Step 4: Simplify right side
    219.42x = 60,395.52
  5. Step 5: Solve for x
    x = 60,395.52/219.42
  6. Step 6: Final answer
    x = 275.25

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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.