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Finding the Fourth Proportional to 240.86, 360.84 and 118.99

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Solution

The fourth proportional to 240.86, 360.84 and 118.99 is: 178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.86 : 360.84 = 118.99 : x
  2. Step 2: Convert to fraction form
    240.86/360.84 = 118.99/x
  3. Step 3: Cross multiply
    240.86x = 360.84 × 118.99
  4. Step 4: Simplify right side
    240.86x = 42,935.45
  5. Step 5: Solve for x
    x = 42,935.45/240.86
  6. Step 6: Final answer
    x = 178.26

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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.