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Finding the Fourth Proportional to 240.75, 360.81 and 119.16

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Solution

The fourth proportional to 240.75, 360.81 and 119.16 is: 178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 360.81 = 119.16 : x
  2. Step 2: Convert to fraction form
    240.75/360.81 = 119.16/x
  3. Step 3: Cross multiply
    240.75x = 360.81 × 119.16
  4. Step 4: Simplify right side
    240.75x = 42,994.12
  5. Step 5: Solve for x
    x = 42,994.12/240.75
  6. Step 6: Final answer
    x = 178.58

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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.