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Finding the Fourth Proportional to 240.77, 361.40 and 180.29

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Solution

The fourth proportional to 240.77, 361.40 and 180.29 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.77 : 361.40 = 180.29 : x
  2. Step 2: Convert to fraction form
    240.77/361.40 = 180.29/x
  3. Step 3: Cross multiply
    240.77x = 361.40 × 180.29
  4. Step 4: Simplify right side
    240.77x = 65,156.81
  5. Step 5: Solve for x
    x = 65,156.81/240.77
  6. Step 6: Final answer
    x = 270.62

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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.