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Finding the Fourth Proportional to 262.38, 361.88 and 175.18

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Solution

The fourth proportional to 262.38, 361.88 and 175.18 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.38 : 361.88 = 175.18 : x
  2. Step 2: Convert to fraction form
    262.38/361.88 = 175.18/x
  3. Step 3: Cross multiply
    262.38x = 361.88 × 175.18
  4. Step 4: Simplify right side
    262.38x = 63,394.14
  5. Step 5: Solve for x
    x = 63,394.14/262.38
  6. Step 6: Final answer
    x = 241.61

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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.