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Finding the Fourth Proportional to 195.86, 270.47 and 146.66

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Solution

The fourth proportional to 195.86, 270.47 and 146.66 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 270.47 = 146.66 : x
  2. Step 2: Convert to fraction form
    195.86/270.47 = 146.66/x
  3. Step 3: Cross multiply
    195.86x = 270.47 × 146.66
  4. Step 4: Simplify right side
    195.86x = 39,665.04
  5. Step 5: Solve for x
    x = 39,665.04/195.86
  6. Step 6: Final answer
    x = 202.52

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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.