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Finding the Fourth Proportional to 240.70, 359.32 and 204.24

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Solution

The fourth proportional to 240.70, 359.32 and 204.24 is: 304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.70 : 359.32 = 204.24 : x
  2. Step 2: Convert to fraction form
    240.70/359.32 = 204.24/x
  3. Step 3: Cross multiply
    240.70x = 359.32 × 204.24
  4. Step 4: Simplify right side
    240.70x = 73,387.52
  5. Step 5: Solve for x
    x = 73,387.52/240.70
  6. Step 6: Final answer
    x = 304.89

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