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Finding the Fourth Proportional to 195.02, 268.56 and 145.82

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Solution

The fourth proportional to 195.02, 268.56 and 145.82 is: 200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.02 : 268.56 = 145.82 : x
  2. Step 2: Convert to fraction form
    195.02/268.56 = 145.82/x
  3. Step 3: Cross multiply
    195.02x = 268.56 × 145.82
  4. Step 4: Simplify right side
    195.02x = 39,161.42
  5. Step 5: Solve for x
    x = 39,161.42/195.02
  6. Step 6: Final answer
    x = 200.81

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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.