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Finding the Fourth Proportional to 373.89, 515.95 and 205.84

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Solution

The fourth proportional to 373.89, 515.95 and 205.84 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.89 : 515.95 = 205.84 : x
  2. Step 2: Convert to fraction form
    373.89/515.95 = 205.84/x
  3. Step 3: Cross multiply
    373.89x = 515.95 × 205.84
  4. Step 4: Simplify right side
    373.89x = 106,203.15
  5. Step 5: Solve for x
    x = 106,203.15/373.89
  6. Step 6: Final answer
    x = 284.05

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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.