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Finding the Fourth Proportional to 195.48, 269.57 and 145.91

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Solution

The fourth proportional to 195.48, 269.57 and 145.91 is: 201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.48 : 269.57 = 145.91 : x
  2. Step 2: Convert to fraction form
    195.48/269.57 = 145.91/x
  3. Step 3: Cross multiply
    195.48x = 269.57 × 145.91
  4. Step 4: Simplify right side
    195.48x = 39,334.00
  5. Step 5: Solve for x
    x = 39,334.00/195.48
  6. Step 6: Final answer
    x = 201.22

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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.