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Finding the Fourth Proportional to 334.84, 502.42 and 198.16

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Solution

The fourth proportional to 334.84, 502.42 and 198.16 is: 297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.84 : 502.42 = 198.16 : x
  2. Step 2: Convert to fraction form
    334.84/502.42 = 198.16/x
  3. Step 3: Cross multiply
    334.84x = 502.42 × 198.16
  4. Step 4: Simplify right side
    334.84x = 99,556.04
  5. Step 5: Solve for x
    x = 99,556.04/334.84
  6. Step 6: Final answer
    x = 297.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.