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Finding the Fourth Proportional to 262.92, 362.80 and 146.48

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Solution

The fourth proportional to 262.92, 362.80 and 146.48 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.92 : 362.80 = 146.48 : x
  2. Step 2: Convert to fraction form
    262.92/362.80 = 146.48/x
  3. Step 3: Cross multiply
    262.92x = 362.80 × 146.48
  4. Step 4: Simplify right side
    262.92x = 53,142.94
  5. Step 5: Solve for x
    x = 53,142.94/262.92
  6. Step 6: Final answer
    x = 202.13

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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.