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Finding the Fourth Proportional to 240.02, 359.96 and 77.66

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Solution

The fourth proportional to 240.02, 359.96 and 77.66 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.02 : 359.96 = 77.66 : x
  2. Step 2: Convert to fraction form
    240.02/359.96 = 77.66/x
  3. Step 3: Cross multiply
    240.02x = 359.96 × 77.66
  4. Step 4: Simplify right side
    240.02x = 27,954.49
  5. Step 5: Solve for x
    x = 27,954.49/240.02
  6. Step 6: Final answer
    x = 116.47

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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.