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Finding the Fourth Proportional to 240.66, 360.93 and 110.52

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Solution

The fourth proportional to 240.66, 360.93 and 110.52 is: 165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 360.93 = 110.52 : x
  2. Step 2: Convert to fraction form
    240.66/360.93 = 110.52/x
  3. Step 3: Cross multiply
    240.66x = 360.93 × 110.52
  4. Step 4: Simplify right side
    240.66x = 39,889.98
  5. Step 5: Solve for x
    x = 39,889.98/240.66
  6. Step 6: Final answer
    x = 165.75

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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.