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Finding the Fourth Proportional to 399.54, 551.38 and 242.20

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Solution

The fourth proportional to 399.54, 551.38 and 242.20 is: 334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.54 : 551.38 = 242.20 : x
  2. Step 2: Convert to fraction form
    399.54/551.38 = 242.20/x
  3. Step 3: Cross multiply
    399.54x = 551.38 × 242.20
  4. Step 4: Simplify right side
    399.54x = 133,542.25
  5. Step 5: Solve for x
    x = 133,542.25/399.54
  6. Step 6: Final answer
    x = 334.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.