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Finding the Fourth Proportional to 195.29, 269.55 and 117.67

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Solution

The fourth proportional to 195.29, 269.55 and 117.67 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 269.55 = 117.67 : x
  2. Step 2: Convert to fraction form
    195.29/269.55 = 117.67/x
  3. Step 3: Cross multiply
    195.29x = 269.55 × 117.67
  4. Step 4: Simplify right side
    195.29x = 31,717.27
  5. Step 5: Solve for x
    x = 31,717.27/195.29
  6. Step 6: Final answer
    x = 162.41

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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.