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Finding the Fourth Proportional to 215.12, 322.47 and 133.79

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Solution

The fourth proportional to 215.12, 322.47 and 133.79 is: 200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.12 : 322.47 = 133.79 : x
  2. Step 2: Convert to fraction form
    215.12/322.47 = 133.79/x
  3. Step 3: Cross multiply
    215.12x = 322.47 × 133.79
  4. Step 4: Simplify right side
    215.12x = 43,141.65
  5. Step 5: Solve for x
    x = 43,141.65/215.12
  6. Step 6: Final answer
    x = 200.54

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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.