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Finding the Fourth Proportional to 212.32, 292.80 and 183.04

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Solution

The fourth proportional to 212.32, 292.80 and 183.04 is: 252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 292.80 = 183.04 : x
  2. Step 2: Convert to fraction form
    212.32/292.80 = 183.04/x
  3. Step 3: Cross multiply
    212.32x = 292.80 × 183.04
  4. Step 4: Simplify right side
    212.32x = 53,594.11
  5. Step 5: Solve for x
    x = 53,594.11/212.32
  6. Step 6: Final answer
    x = 252.42

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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.