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Finding the Fourth Proportional to 280.62, 387.22 and 156.26

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Solution

The fourth proportional to 280.62, 387.22 and 156.26 is: 215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 387.22 = 156.26 : x
  2. Step 2: Convert to fraction form
    280.62/387.22 = 156.26/x
  3. Step 3: Cross multiply
    280.62x = 387.22 × 156.26
  4. Step 4: Simplify right side
    280.62x = 60,504.67
  5. Step 5: Solve for x
    x = 60,504.67/280.62
  6. Step 6: Final answer
    x = 215.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.