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Finding the Fourth Proportional to 212.04, 292.78 and 162.84

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Solution

The fourth proportional to 212.04, 292.78 and 162.84 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 292.78 = 162.84 : x
  2. Step 2: Convert to fraction form
    212.04/292.78 = 162.84/x
  3. Step 3: Cross multiply
    212.04x = 292.78 × 162.84
  4. Step 4: Simplify right side
    212.04x = 47,676.30
  5. Step 5: Solve for x
    x = 47,676.30/212.04
  6. Step 6: Final answer
    x = 224.85

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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.