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Finding the Fourth Proportional to 213.12, 319.36 and 144.52

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Solution

The fourth proportional to 213.12, 319.36 and 144.52 is: 216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 319.36 = 144.52 : x
  2. Step 2: Convert to fraction form
    213.12/319.36 = 144.52/x
  3. Step 3: Cross multiply
    213.12x = 319.36 × 144.52
  4. Step 4: Simplify right side
    213.12x = 46,153.91
  5. Step 5: Solve for x
    x = 46,153.91/213.12
  6. Step 6: Final answer
    x = 216.56

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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.