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Finding the Fourth Proportional to 334.22, 461.37 and 201.50

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Solution

The fourth proportional to 334.22, 461.37 and 201.50 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.22 : 461.37 = 201.50 : x
  2. Step 2: Convert to fraction form
    334.22/461.37 = 201.50/x
  3. Step 3: Cross multiply
    334.22x = 461.37 × 201.50
  4. Step 4: Simplify right side
    334.22x = 92,966.06
  5. Step 5: Solve for x
    x = 92,966.06/334.22
  6. Step 6: Final answer
    x = 278.16

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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.