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Finding the Fourth Proportional to 195.83, 270.15 and 117.10

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Solution

The fourth proportional to 195.83, 270.15 and 117.10 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.83 : 270.15 = 117.10 : x
  2. Step 2: Convert to fraction form
    195.83/270.15 = 117.10/x
  3. Step 3: Cross multiply
    195.83x = 270.15 × 117.10
  4. Step 4: Simplify right side
    195.83x = 31,632.63
  5. Step 5: Solve for x
    x = 31,632.63/195.83
  6. Step 6: Final answer
    x = 161.54

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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.