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Finding the Fourth Proportional to 240.86, 361.09 and 125.34

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Solution

The fourth proportional to 240.86, 361.09 and 125.34 is: 187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.86 : 361.09 = 125.34 : x
  2. Step 2: Convert to fraction form
    240.86/361.09 = 125.34/x
  3. Step 3: Cross multiply
    240.86x = 361.09 × 125.34
  4. Step 4: Simplify right side
    240.86x = 45,259.02
  5. Step 5: Solve for x
    x = 45,259.02/240.86
  6. Step 6: Final answer
    x = 187.91

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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.