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Finding the Fourth Proportional to 288.86, 398.61 and 162.84

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Solution

The fourth proportional to 288.86, 398.61 and 162.84 is: 224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 398.61 = 162.84 : x
  2. Step 2: Convert to fraction form
    288.86/398.61 = 162.84/x
  3. Step 3: Cross multiply
    288.86x = 398.61 × 162.84
  4. Step 4: Simplify right side
    288.86x = 64,909.65
  5. Step 5: Solve for x
    x = 64,909.65/288.86
  6. Step 6: Final answer
    x = 224.71

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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.