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Finding the Fourth Proportional to 213.89, 320.72 and 145.08

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Solution

The fourth proportional to 213.89, 320.72 and 145.08 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 320.72 = 145.08 : x
  2. Step 2: Convert to fraction form
    213.89/320.72 = 145.08/x
  3. Step 3: Cross multiply
    213.89x = 320.72 × 145.08
  4. Step 4: Simplify right side
    213.89x = 46,529.33
  5. Step 5: Solve for x
    x = 46,529.33/213.89
  6. Step 6: Final answer
    x = 217.54

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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.