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Finding the Fourth Proportional to 294.13, 405.85 and 250.05

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Solution

The fourth proportional to 294.13, 405.85 and 250.05 is: 345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 405.85 = 250.05 : x
  2. Step 2: Convert to fraction form
    294.13/405.85 = 250.05/x
  3. Step 3: Cross multiply
    294.13x = 405.85 × 250.05
  4. Step 4: Simplify right side
    294.13x = 101,481.54
  5. Step 5: Solve for x
    x = 101,481.54/294.13
  6. Step 6: Final answer
    x = 345.03

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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.