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Finding the Fourth Proportional to 242.32, 361.33 and 213.54

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Solution

The fourth proportional to 242.32, 361.33 and 213.54 is: 318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 361.33 = 213.54 : x
  2. Step 2: Convert to fraction form
    242.32/361.33 = 213.54/x
  3. Step 3: Cross multiply
    242.32x = 361.33 × 213.54
  4. Step 4: Simplify right side
    242.32x = 77,158.41
  5. Step 5: Solve for x
    x = 77,158.41/242.32
  6. Step 6: Final answer
    x = 318.42

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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.