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Finding the Fourth Proportional to 240.24, 360.26 and 75.66

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Solution

The fourth proportional to 240.24, 360.26 and 75.66 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 360.26 = 75.66 : x
  2. Step 2: Convert to fraction form
    240.24/360.26 = 75.66/x
  3. Step 3: Cross multiply
    240.24x = 360.26 × 75.66
  4. Step 4: Simplify right side
    240.24x = 27,256.89
  5. Step 5: Solve for x
    x = 27,256.89/240.24
  6. Step 6: Final answer
    x = 113.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.