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Finding the Fourth Proportional to 213.06, 293.75 and 157.71

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Solution

The fourth proportional to 213.06, 293.75 and 157.71 is: 217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 293.75 = 157.71 : x
  2. Step 2: Convert to fraction form
    213.06/293.75 = 157.71/x
  3. Step 3: Cross multiply
    213.06x = 293.75 × 157.71
  4. Step 4: Simplify right side
    213.06x = 46,327.31
  5. Step 5: Solve for x
    x = 46,327.31/213.06
  6. Step 6: Final answer
    x = 217.44

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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.