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Finding the Fourth Proportional to 294.96, 441.66 and 249.21

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Solution

The fourth proportional to 294.96, 441.66 and 249.21 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 441.66 = 249.21 : x
  2. Step 2: Convert to fraction form
    294.96/441.66 = 249.21/x
  3. Step 3: Cross multiply
    294.96x = 441.66 × 249.21
  4. Step 4: Simplify right side
    294.96x = 110,066.09
  5. Step 5: Solve for x
    x = 110,066.09/294.96
  6. Step 6: Final answer
    x = 373.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.