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Finding the Fourth Proportional to 243.09, 361.58 and 242.31

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Solution

The fourth proportional to 243.09, 361.58 and 242.31 is: 360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.09 : 361.58 = 242.31 : x
  2. Step 2: Convert to fraction form
    243.09/361.58 = 242.31/x
  3. Step 3: Cross multiply
    243.09x = 361.58 × 242.31
  4. Step 4: Simplify right side
    243.09x = 87,614.59
  5. Step 5: Solve for x
    x = 87,614.59/243.09
  6. Step 6: Final answer
    x = 360.42

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