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Finding the Fourth Proportional to 212.29, 292.82 and 171.28

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Solution

The fourth proportional to 212.29, 292.82 and 171.28 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.29 : 292.82 = 171.28 : x
  2. Step 2: Convert to fraction form
    212.29/292.82 = 171.28/x
  3. Step 3: Cross multiply
    212.29x = 292.82 × 171.28
  4. Step 4: Simplify right side
    212.29x = 50,153.72
  5. Step 5: Solve for x
    x = 50,153.72/212.29
  6. Step 6: Final answer
    x = 236.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.