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Finding the Fourth Proportional to 212.20, 292.44 and 153.88

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Solution

The fourth proportional to 212.20, 292.44 and 153.88 is: 212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 292.44 = 153.88 : x
  2. Step 2: Convert to fraction form
    212.20/292.44 = 153.88/x
  3. Step 3: Cross multiply
    212.20x = 292.44 × 153.88
  4. Step 4: Simplify right side
    212.20x = 45,000.67
  5. Step 5: Solve for x
    x = 45,000.67/212.20
  6. Step 6: Final answer
    x = 212.07

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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.