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Finding the Fourth Proportional to 215.37, 322.97 and 78.39

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Solution

The fourth proportional to 215.37, 322.97 and 78.39 is: 117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.37 : 322.97 = 78.39 : x
  2. Step 2: Convert to fraction form
    215.37/322.97 = 78.39/x
  3. Step 3: Cross multiply
    215.37x = 322.97 × 78.39
  4. Step 4: Simplify right side
    215.37x = 25,317.23
  5. Step 5: Solve for x
    x = 25,317.23/215.37
  6. Step 6: Final answer
    x = 117.55

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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.