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Finding the Fourth Proportional to 294.30, 405.90 and 211.14

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Solution

The fourth proportional to 294.30, 405.90 and 211.14 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 405.90 = 211.14 : x
  2. Step 2: Convert to fraction form
    294.30/405.90 = 211.14/x
  3. Step 3: Cross multiply
    294.30x = 405.90 × 211.14
  4. Step 4: Simplify right side
    294.30x = 85,701.73
  5. Step 5: Solve for x
    x = 85,701.73/294.30
  6. Step 6: Final answer
    x = 291.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.