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Finding the Fourth Proportional to 212.82, 293.92 and 146.74

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Solution

The fourth proportional to 212.82, 293.92 and 146.74 is: 202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 293.92 = 146.74 : x
  2. Step 2: Convert to fraction form
    212.82/293.92 = 146.74/x
  3. Step 3: Cross multiply
    212.82x = 293.92 × 146.74
  4. Step 4: Simplify right side
    212.82x = 43,129.82
  5. Step 5: Solve for x
    x = 43,129.82/212.82
  6. Step 6: Final answer
    x = 202.66

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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.