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Finding the Fourth Proportional to 213.38, 320.65 and 115.96

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Solution

The fourth proportional to 213.38, 320.65 and 115.96 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 320.65 = 115.96 : x
  2. Step 2: Convert to fraction form
    213.38/320.65 = 115.96/x
  3. Step 3: Cross multiply
    213.38x = 320.65 × 115.96
  4. Step 4: Simplify right side
    213.38x = 37,181.51
  5. Step 5: Solve for x
    x = 37,181.51/213.38
  6. Step 6: Final answer
    x = 174.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.