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Finding the Fourth Proportional to 240.30, 359.79 and 185.94

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Solution

The fourth proportional to 240.30, 359.79 and 185.94 is: 278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 359.79 = 185.94 : x
  2. Step 2: Convert to fraction form
    240.30/359.79 = 185.94/x
  3. Step 3: Cross multiply
    240.30x = 359.79 × 185.94
  4. Step 4: Simplify right side
    240.30x = 66,899.35
  5. Step 5: Solve for x
    x = 66,899.35/240.30
  6. Step 6: Final answer
    x = 278.40

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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.