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Finding the Fourth Proportional to 260.77, 392.07 and 240.70

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Solution

The fourth proportional to 260.77, 392.07 and 240.70 is: 361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.77 : 392.07 = 240.70 : x
  2. Step 2: Convert to fraction form
    260.77/392.07 = 240.70/x
  3. Step 3: Cross multiply
    260.77x = 392.07 × 240.70
  4. Step 4: Simplify right side
    260.77x = 94,371.25
  5. Step 5: Solve for x
    x = 94,371.25/260.77
  6. Step 6: Final answer
    x = 361.89

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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.