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Finding the Fourth Proportional to 287.12, 396.24 and 162.76

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Solution

The fourth proportional to 287.12, 396.24 and 162.76 is: 224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.12 : 396.24 = 162.76 : x
  2. Step 2: Convert to fraction form
    287.12/396.24 = 162.76/x
  3. Step 3: Cross multiply
    287.12x = 396.24 × 162.76
  4. Step 4: Simplify right side
    287.12x = 64,492.02
  5. Step 5: Solve for x
    x = 64,492.02/287.12
  6. Step 6: Final answer
    x = 224.62

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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.