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Finding the Fourth Proportional to 280.83, 387.57 and 162.81

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Solution

The fourth proportional to 280.83, 387.57 and 162.81 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 387.57 = 162.81 : x
  2. Step 2: Convert to fraction form
    280.83/387.57 = 162.81/x
  3. Step 3: Cross multiply
    280.83x = 387.57 × 162.81
  4. Step 4: Simplify right side
    280.83x = 63,100.27
  5. Step 5: Solve for x
    x = 63,100.27/280.83
  6. Step 6: Final answer
    x = 224.69

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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.