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Finding the Fourth Proportional to 243.21, 361.89 and 242.40

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Solution

The fourth proportional to 243.21, 361.89 and 242.40 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.21 : 361.89 = 242.40 : x
  2. Step 2: Convert to fraction form
    243.21/361.89 = 242.40/x
  3. Step 3: Cross multiply
    243.21x = 361.89 × 242.40
  4. Step 4: Simplify right side
    243.21x = 87,723.49
  5. Step 5: Solve for x
    x = 87,723.49/243.21
  6. Step 6: Final answer
    x = 360.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.