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Finding the Fourth Proportional to 262.86, 362.73 and 146.42

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Solution

The fourth proportional to 262.86, 362.73 and 146.42 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.86 : 362.73 = 146.42 : x
  2. Step 2: Convert to fraction form
    262.86/362.73 = 146.42/x
  3. Step 3: Cross multiply
    262.86x = 362.73 × 146.42
  4. Step 4: Simplify right side
    262.86x = 53,110.93
  5. Step 5: Solve for x
    x = 53,110.93/262.86
  6. Step 6: Final answer
    x = 202.05

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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.