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Finding the Fourth Proportional to 212.45, 293.29 and 146.84

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Solution

The fourth proportional to 212.45, 293.29 and 146.84 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.45 : 293.29 = 146.84 : x
  2. Step 2: Convert to fraction form
    212.45/293.29 = 146.84/x
  3. Step 3: Cross multiply
    212.45x = 293.29 × 146.84
  4. Step 4: Simplify right side
    212.45x = 43,065.69
  5. Step 5: Solve for x
    x = 43,065.69/212.45
  6. Step 6: Final answer
    x = 202.71

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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.