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Finding the Fourth Proportional to 240.77, 360.83 and 110.45

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Solution

The fourth proportional to 240.77, 360.83 and 110.45 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.77 : 360.83 = 110.45 : x
  2. Step 2: Convert to fraction form
    240.77/360.83 = 110.45/x
  3. Step 3: Cross multiply
    240.77x = 360.83 × 110.45
  4. Step 4: Simplify right side
    240.77x = 39,854.85
  5. Step 5: Solve for x
    x = 39,854.85/240.77
  6. Step 6: Final answer
    x = 165.53

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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.