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Finding the Fourth Proportional to 262.62, 362.43 and 146.18

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Solution

The fourth proportional to 262.62, 362.43 and 146.18 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.62 : 362.43 = 146.18 : x
  2. Step 2: Convert to fraction form
    262.62/362.43 = 146.18/x
  3. Step 3: Cross multiply
    262.62x = 362.43 × 146.18
  4. Step 4: Simplify right side
    262.62x = 52,980.02
  5. Step 5: Solve for x
    x = 52,980.02/262.62
  6. Step 6: Final answer
    x = 201.74

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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.