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Finding the Fourth Proportional to 262.98, 362.90 and 146.54

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Solution

The fourth proportional to 262.98, 362.90 and 146.54 is: 202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 362.90 = 146.54 : x
  2. Step 2: Convert to fraction form
    262.98/362.90 = 146.54/x
  3. Step 3: Cross multiply
    262.98x = 362.90 × 146.54
  4. Step 4: Simplify right side
    262.98x = 53,180.64
  5. Step 5: Solve for x
    x = 53,180.64/262.98
  6. Step 6: Final answer
    x = 202.22

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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.