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Finding the Fourth Proportional to 260.25, 390.49 and 150.56

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Solution

The fourth proportional to 260.25, 390.49 and 150.56 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.25 : 390.49 = 150.56 : x
  2. Step 2: Convert to fraction form
    260.25/390.49 = 150.56/x
  3. Step 3: Cross multiply
    260.25x = 390.49 × 150.56
  4. Step 4: Simplify right side
    260.25x = 58,792.17
  5. Step 5: Solve for x
    x = 58,792.17/260.25
  6. Step 6: Final answer
    x = 225.91

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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.