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Finding the Fourth Proportional to 212.58, 293.31 and 146.97

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Solution

The fourth proportional to 212.58, 293.31 and 146.97 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 293.31 = 146.97 : x
  2. Step 2: Convert to fraction form
    212.58/293.31 = 146.97/x
  3. Step 3: Cross multiply
    212.58x = 293.31 × 146.97
  4. Step 4: Simplify right side
    212.58x = 43,107.77
  5. Step 5: Solve for x
    x = 43,107.77/212.58
  6. Step 6: Final answer
    x = 202.78

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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.