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Finding the Fourth Proportional to 285.60, 394.16 and 212.12

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Solution

The fourth proportional to 285.60, 394.16 and 212.12 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.60 : 394.16 = 212.12 : x
  2. Step 2: Convert to fraction form
    285.60/394.16 = 212.12/x
  3. Step 3: Cross multiply
    285.60x = 394.16 × 212.12
  4. Step 4: Simplify right side
    285.60x = 83,610.73
  5. Step 5: Solve for x
    x = 83,610.73/285.60
  6. Step 6: Final answer
    x = 292.76

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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.