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Finding the Fourth Proportional to 240.71, 361.13 and 119.10

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Solution

The fourth proportional to 240.71, 361.13 and 119.10 is: 178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.71 : 361.13 = 119.10 : x
  2. Step 2: Convert to fraction form
    240.71/361.13 = 119.10/x
  3. Step 3: Cross multiply
    240.71x = 361.13 × 119.10
  4. Step 4: Simplify right side
    240.71x = 43,011.34
  5. Step 5: Solve for x
    x = 43,011.34/240.71
  6. Step 6: Final answer
    x = 178.69

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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.