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Finding the Fourth Proportional to 212.68, 293.16 and 160.84

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Solution

The fourth proportional to 212.68, 293.16 and 160.84 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.68 : 293.16 = 160.84 : x
  2. Step 2: Convert to fraction form
    212.68/293.16 = 160.84/x
  3. Step 3: Cross multiply
    212.68x = 293.16 × 160.84
  4. Step 4: Simplify right side
    212.68x = 47,151.85
  5. Step 5: Solve for x
    x = 47,151.85/212.68
  6. Step 6: Final answer
    x = 221.70

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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.