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Finding the Fourth Proportional to 361.24, 542.06 and 178.81

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Solution

The fourth proportional to 361.24, 542.06 and 178.81 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.24 : 542.06 = 178.81 : x
  2. Step 2: Convert to fraction form
    361.24/542.06 = 178.81/x
  3. Step 3: Cross multiply
    361.24x = 542.06 × 178.81
  4. Step 4: Simplify right side
    361.24x = 96,926.20
  5. Step 5: Solve for x
    x = 96,926.20/361.24
  6. Step 6: Final answer
    x = 268.32

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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.