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Finding the Fourth Proportional to 195.39, 269.37 and 156.18

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Solution

The fourth proportional to 195.39, 269.37 and 156.18 is: 215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.39 : 269.37 = 156.18 : x
  2. Step 2: Convert to fraction form
    195.39/269.37 = 156.18/x
  3. Step 3: Cross multiply
    195.39x = 269.37 × 156.18
  4. Step 4: Simplify right side
    195.39x = 42,070.21
  5. Step 5: Solve for x
    x = 42,070.21/195.39
  6. Step 6: Final answer
    x = 215.31

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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.