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Finding the Fourth Proportional to 195.10, 269 and 160.00

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Solution

The fourth proportional to 195.10, 269 and 160.00 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.10 : 269 = 160.00 : x
  2. Step 2: Convert to fraction form
    195.10/269 = 160.00/x
  3. Step 3: Cross multiply
    195.10x = 269 × 160.00
  4. Step 4: Simplify right side
    195.10x = 43,038.66
  5. Step 5: Solve for x
    x = 43,038.66/195.10
  6. Step 6: Final answer
    x = 220.60

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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.