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Finding the Fourth Proportional to 357.34, 537.94 and 249.88

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Solution

The fourth proportional to 357.34, 537.94 and 249.88 is: 376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.34 : 537.94 = 249.88 : x
  2. Step 2: Convert to fraction form
    357.34/537.94 = 249.88/x
  3. Step 3: Cross multiply
    357.34x = 537.94 × 249.88
  4. Step 4: Simplify right side
    357.34x = 134,420.45
  5. Step 5: Solve for x
    x = 134,420.45/357.34
  6. Step 6: Final answer
    x = 376.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.