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Finding the Fourth Proportional to 240.30, 330.84 and 203.40

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Solution

The fourth proportional to 240.30, 330.84 and 203.40 is: 280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 330.84 = 203.40 : x
  2. Step 2: Convert to fraction form
    240.30/330.84 = 203.40/x
  3. Step 3: Cross multiply
    240.30x = 330.84 × 203.40
  4. Step 4: Simplify right side
    240.30x = 67,292.86
  5. Step 5: Solve for x
    x = 67,292.86/240.30
  6. Step 6: Final answer
    x = 280.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.