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Finding the Fourth Proportional to 212.49, 293.02 and 160.16

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Solution

The fourth proportional to 212.49, 293.02 and 160.16 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.49 : 293.02 = 160.16 : x
  2. Step 2: Convert to fraction form
    212.49/293.02 = 160.16/x
  3. Step 3: Cross multiply
    212.49x = 293.02 × 160.16
  4. Step 4: Simplify right side
    212.49x = 46,930.08
  5. Step 5: Solve for x
    x = 46,930.08/212.49
  6. Step 6: Final answer
    x = 220.86

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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.