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Finding the Fourth Proportional to 195.64, 270.08 and 118

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Solution

The fourth proportional to 195.64, 270.08 and 118 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 270.08 = 118 : x
  2. Step 2: Convert to fraction form
    195.64/270.08 = 118/x
  3. Step 3: Cross multiply
    195.64x = 270.08 × 118
  4. Step 4: Simplify right side
    195.64x = 31,869.44
  5. Step 5: Solve for x
    x = 31,869.44/195.64
  6. Step 6: Final answer
    x = 162.90

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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.