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Finding the Fourth Proportional to 219.64, 329.55 and 178.91

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Solution

The fourth proportional to 219.64, 329.55 and 178.91 is: 268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 329.55 = 178.91 : x
  2. Step 2: Convert to fraction form
    219.64/329.55 = 178.91/x
  3. Step 3: Cross multiply
    219.64x = 329.55 × 178.91
  4. Step 4: Simplify right side
    219.64x = 58,959.79
  5. Step 5: Solve for x
    x = 58,959.79/219.64
  6. Step 6: Final answer
    x = 268.44

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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.