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Finding the Fourth Proportional to 215.35, 322.93 and 78.31

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Solution

The fourth proportional to 215.35, 322.93 and 78.31 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.35 : 322.93 = 78.31 : x
  2. Step 2: Convert to fraction form
    215.35/322.93 = 78.31/x
  3. Step 3: Cross multiply
    215.35x = 322.93 × 78.31
  4. Step 4: Simplify right side
    215.35x = 25,288.65
  5. Step 5: Solve for x
    x = 25,288.65/215.35
  6. Step 6: Final answer
    x = 117.43

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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.