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Finding the Fourth Proportional to 240.41, 360.75 and 96.14

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Solution

The fourth proportional to 240.41, 360.75 and 96.14 is: 144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.41 : 360.75 = 96.14 : x
  2. Step 2: Convert to fraction form
    240.41/360.75 = 96.14/x
  3. Step 3: Cross multiply
    240.41x = 360.75 × 96.14
  4. Step 4: Simplify right side
    240.41x = 34,682.51
  5. Step 5: Solve for x
    x = 34,682.51/240.41
  6. Step 6: Final answer
    x = 144.26

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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.