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Finding the Fourth Proportional to 215.27, 322.93 and 78.32

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Solution

The fourth proportional to 215.27, 322.93 and 78.32 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.27 : 322.93 = 78.32 : x
  2. Step 2: Convert to fraction form
    215.27/322.93 = 78.32/x
  3. Step 3: Cross multiply
    215.27x = 322.93 × 78.32
  4. Step 4: Simplify right side
    215.27x = 25,292.78
  5. Step 5: Solve for x
    x = 25,292.78/215.27
  6. Step 6: Final answer
    x = 117.49

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Why These Related Problems?

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