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Finding the Fourth Proportional to 195.04, 269.19 and 117.46

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Solution

The fourth proportional to 195.04, 269.19 and 117.46 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.04 : 269.19 = 117.46 : x
  2. Step 2: Convert to fraction form
    195.04/269.19 = 117.46/x
  3. Step 3: Cross multiply
    195.04x = 269.19 × 117.46
  4. Step 4: Simplify right side
    195.04x = 31,619.06
  5. Step 5: Solve for x
    x = 31,619.06/195.04
  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.