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Finding the Fourth Proportional to 240.25, 360.26 and 95.93

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Solution

The fourth proportional to 240.25, 360.26 and 95.93 is: 143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.25 : 360.26 = 95.93 : x
  2. Step 2: Convert to fraction form
    240.25/360.26 = 95.93/x
  3. Step 3: Cross multiply
    240.25x = 360.26 × 95.93
  4. Step 4: Simplify right side
    240.25x = 34,559.26
  5. Step 5: Solve for x
    x = 34,559.26/240.25
  6. Step 6: Final answer
    x = 143.85

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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.