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Finding the Fourth Proportional to 212.34, 292.80 and 138.66

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Solution

The fourth proportional to 212.34, 292.80 and 138.66 is: 191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 292.80 = 138.66 : x
  2. Step 2: Convert to fraction form
    212.34/292.80 = 138.66/x
  3. Step 3: Cross multiply
    212.34x = 292.80 × 138.66
  4. Step 4: Simplify right side
    212.34x = 40,599.65
  5. Step 5: Solve for x
    x = 40,599.65/212.34
  6. Step 6: Final answer
    x = 191.20

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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.