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Finding the Fourth Proportional to 240.04, 360.22 and 185.96

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Solution

The fourth proportional to 240.04, 360.22 and 185.96 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.04 : 360.22 = 185.96 : x
  2. Step 2: Convert to fraction form
    240.04/360.22 = 185.96/x
  3. Step 3: Cross multiply
    240.04x = 360.22 × 185.96
  4. Step 4: Simplify right side
    240.04x = 66,986.51
  5. Step 5: Solve for x
    x = 66,986.51/240.04
  6. Step 6: Final answer
    x = 279.06

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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.