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Finding the Fourth Proportional to 195.93, 270.35 and 117.24

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Solution

The fourth proportional to 195.93, 270.35 and 117.24 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.93 : 270.35 = 117.24 : x
  2. Step 2: Convert to fraction form
    195.93/270.35 = 117.24/x
  3. Step 3: Cross multiply
    195.93x = 270.35 × 117.24
  4. Step 4: Simplify right side
    195.93x = 31,695.83
  5. Step 5: Solve for x
    x = 31,695.83/195.93
  6. Step 6: Final answer
    x = 161.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.