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Finding the Fourth Proportional to 212.02, 292.56 and 118.75

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Solution

The fourth proportional to 212.02, 292.56 and 118.75 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 292.56 = 118.75 : x
  2. Step 2: Convert to fraction form
    212.02/292.56 = 118.75/x
  3. Step 3: Cross multiply
    212.02x = 292.56 × 118.75
  4. Step 4: Simplify right side
    212.02x = 34,742.77
  5. Step 5: Solve for x
    x = 34,742.77/212.02
  6. Step 6: Final answer
    x = 163.86

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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.