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Finding the Fourth Proportional to 195.23, 269.34 and 117.60

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Solution

The fourth proportional to 195.23, 269.34 and 117.60 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.23 : 269.34 = 117.60 : x
  2. Step 2: Convert to fraction form
    195.23/269.34 = 117.60/x
  3. Step 3: Cross multiply
    195.23x = 269.34 × 117.60
  4. Step 4: Simplify right side
    195.23x = 31,674.38
  5. Step 5: Solve for x
    x = 31,674.38/195.23
  6. Step 6: Final answer
    x = 162.25

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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.