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Finding the Fourth Proportional to 280.52, 387.06 and 162.47

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Solution

The fourth proportional to 280.52, 387.06 and 162.47 is: 224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 387.06 = 162.47 : x
  2. Step 2: Convert to fraction form
    280.52/387.06 = 162.47/x
  3. Step 3: Cross multiply
    280.52x = 387.06 × 162.47
  4. Step 4: Simplify right side
    280.52x = 62,883.70
  5. Step 5: Solve for x
    x = 62,883.70/280.52
  6. Step 6: Final answer
    x = 224.17

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