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Finding the Fourth Proportional to 262.97, 362.90 and 146.53

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Solution

The fourth proportional to 262.97, 362.90 and 146.53 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.97 : 362.90 = 146.53 : x
  2. Step 2: Convert to fraction form
    262.97/362.90 = 146.53/x
  3. Step 3: Cross multiply
    262.97x = 362.90 × 146.53
  4. Step 4: Simplify right side
    262.97x = 53,175.73
  5. Step 5: Solve for x
    x = 53,175.73/262.97
  6. Step 6: Final answer
    x = 202.21

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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.