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Finding the Fourth Proportional to 212.28, 292.71 and 177.31

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Solution

The fourth proportional to 212.28, 292.71 and 177.31 is: 244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.28 : 292.71 = 177.31 : x
  2. Step 2: Convert to fraction form
    212.28/292.71 = 177.31/x
  3. Step 3: Cross multiply
    212.28x = 292.71 × 177.31
  4. Step 4: Simplify right side
    212.28x = 51,900.41
  5. Step 5: Solve for x
    x = 51,900.41/212.28
  6. Step 6: Final answer
    x = 244.49

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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.