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Finding the Fourth Proportional to 334.15, 461.14 and 184.77

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Solution

The fourth proportional to 334.15, 461.14 and 184.77 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.15 : 461.14 = 184.77 : x
  2. Step 2: Convert to fraction form
    334.15/461.14 = 184.77/x
  3. Step 3: Cross multiply
    334.15x = 461.14 × 184.77
  4. Step 4: Simplify right side
    334.15x = 85,204.84
  5. Step 5: Solve for x
    x = 85,204.84/334.15
  6. Step 6: Final answer
    x = 254.99

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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.