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Finding the Fourth Proportional to 399.51, 551.31 and 242.16

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Solution

The fourth proportional to 399.51, 551.31 and 242.16 is: 334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.51 : 551.31 = 242.16 : x
  2. Step 2: Convert to fraction form
    399.51/551.31 = 242.16/x
  3. Step 3: Cross multiply
    399.51x = 551.31 × 242.16
  4. Step 4: Simplify right side
    399.51x = 133,505.23
  5. Step 5: Solve for x
    x = 133,505.23/399.51
  6. Step 6: Final answer
    x = 334.17

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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.