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Finding the Fourth Proportional to 280.86, 387.58 and 162.76

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Solution

The fourth proportional to 280.86, 387.58 and 162.76 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.86 : 387.58 = 162.76 : x
  2. Step 2: Convert to fraction form
    280.86/387.58 = 162.76/x
  3. Step 3: Cross multiply
    280.86x = 387.58 × 162.76
  4. Step 4: Simplify right side
    280.86x = 63,081.14
  5. Step 5: Solve for x
    x = 63,081.14/280.86
  6. Step 6: Final answer
    x = 224.60

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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.