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Finding the Fourth Proportional to 212.48, 292.48 and 183.68

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Solution

The fourth proportional to 212.48, 292.48 and 183.68 is: 252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.48 : 292.48 = 183.68 : x
  2. Step 2: Convert to fraction form
    212.48/292.48 = 183.68/x
  3. Step 3: Cross multiply
    212.48x = 292.48 × 183.68
  4. Step 4: Simplify right side
    212.48x = 53,722.73
  5. Step 5: Solve for x
    x = 53,722.73/212.48
  6. Step 6: Final answer
    x = 252.84

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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.