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Finding the Fourth Proportional to 287.30, 396.50 and 162.96

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Solution

The fourth proportional to 287.30, 396.50 and 162.96 is: 224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 396.50 = 162.96 : x
  2. Step 2: Convert to fraction form
    287.30/396.50 = 162.96/x
  3. Step 3: Cross multiply
    287.30x = 396.50 × 162.96
  4. Step 4: Simplify right side
    287.30x = 64,613.57
  5. Step 5: Solve for x
    x = 64,613.57/287.30
  6. Step 6: Final answer
    x = 224.90

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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.