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Finding the Fourth Proportional to 280.94, 387.68 and 162.82

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Solution

The fourth proportional to 280.94, 387.68 and 162.82 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 387.68 = 162.82 : x
  2. Step 2: Convert to fraction form
    280.94/387.68 = 162.82/x
  3. Step 3: Cross multiply
    280.94x = 387.68 × 162.82
  4. Step 4: Simplify right side
    280.94x = 63,122.06
  5. Step 5: Solve for x
    x = 63,122.06/280.94
  6. Step 6: Final answer
    x = 224.68

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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.