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Finding the Fourth Proportional to 212.60, 292.74 and 160.22

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Solution

The fourth proportional to 212.60, 292.74 and 160.22 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 292.74 = 160.22 : x
  2. Step 2: Convert to fraction form
    212.60/292.74 = 160.22/x
  3. Step 3: Cross multiply
    212.60x = 292.74 × 160.22
  4. Step 4: Simplify right side
    212.60x = 46,902.80
  5. Step 5: Solve for x
    x = 46,902.80/212.60
  6. Step 6: Final answer
    x = 220.62

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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.