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Finding the Fourth Proportional to 195.18, 269.30 and 117.50

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Solution

The fourth proportional to 195.18, 269.30 and 117.50 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 269.30 = 117.50 : x
  2. Step 2: Convert to fraction form
    195.18/269.30 = 117.50/x
  3. Step 3: Cross multiply
    195.18x = 269.30 × 117.50
  4. Step 4: Simplify right side
    195.18x = 31,642.75
  5. Step 5: Solve for x
    x = 31,642.75/195.18
  6. Step 6: Final answer
    x = 162.12

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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.