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Finding the Fourth Proportional to 212.25, 292.80 and 159.72

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Solution

The fourth proportional to 212.25, 292.80 and 159.72 is: 220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 292.80 = 159.72 : x
  2. Step 2: Convert to fraction form
    212.25/292.80 = 159.72/x
  3. Step 3: Cross multiply
    212.25x = 292.80 × 159.72
  4. Step 4: Simplify right side
    212.25x = 46,766.02
  5. Step 5: Solve for x
    x = 46,766.02/212.25
  6. Step 6: Final answer
    x = 220.33

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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.