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Finding the Fourth Proportional to 334.78, 461.98 and 187.42

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Solution

The fourth proportional to 334.78, 461.98 and 187.42 is: 258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 461.98 = 187.42 : x
  2. Step 2: Convert to fraction form
    334.78/461.98 = 187.42/x
  3. Step 3: Cross multiply
    334.78x = 461.98 × 187.42
  4. Step 4: Simplify right side
    334.78x = 86,584.29
  5. Step 5: Solve for x
    x = 86,584.29/334.78
  6. Step 6: Final answer
    x = 258.63

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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.