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Finding the Fourth Proportional to 212.30, 292.64 and 168.56

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Solution

The fourth proportional to 212.30, 292.64 and 168.56 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.30 : 292.64 = 168.56 : x
  2. Step 2: Convert to fraction form
    212.30/292.64 = 168.56/x
  3. Step 3: Cross multiply
    212.30x = 292.64 × 168.56
  4. Step 4: Simplify right side
    212.30x = 49,327.40
  5. Step 5: Solve for x
    x = 49,327.40/212.30
  6. Step 6: Final answer
    x = 232.35

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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.