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Finding the Fourth Proportional to 357.11, 492.26 and 251.85

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Solution

The fourth proportional to 357.11, 492.26 and 251.85 is: 347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.11 : 492.26 = 251.85 : x
  2. Step 2: Convert to fraction form
    357.11/492.26 = 251.85/x
  3. Step 3: Cross multiply
    357.11x = 492.26 × 251.85
  4. Step 4: Simplify right side
    357.11x = 123,974.42
  5. Step 5: Solve for x
    x = 123,974.42/357.11
  6. Step 6: Final answer
    x = 347.17

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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.