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Finding the Fourth Proportional to 361.97, 542.73 and 176.51

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Solution

The fourth proportional to 361.97, 542.73 and 176.51 is: 264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 542.73 = 176.51 : x
  2. Step 2: Convert to fraction form
    361.97/542.73 = 176.51/x
  3. Step 3: Cross multiply
    361.97x = 542.73 × 176.51
  4. Step 4: Simplify right side
    361.97x = 95,794.56
  5. Step 5: Solve for x
    x = 95,794.56/361.97
  6. Step 6: Final answer
    x = 264.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.