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Finding the Fourth Proportional to 240.64, 359.02 and 219.04

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Solution

The fourth proportional to 240.64, 359.02 and 219.04 is: 326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.64 : 359.02 = 219.04 : x
  2. Step 2: Convert to fraction form
    240.64/359.02 = 219.04/x
  3. Step 3: Cross multiply
    240.64x = 359.02 × 219.04
  4. Step 4: Simplify right side
    240.64x = 78,639.74
  5. Step 5: Solve for x
    x = 78,639.74/240.64
  6. Step 6: Final answer
    x = 326.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.