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Finding the Fourth Proportional to 291.63, 402.66 and 213.09

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Solution

The fourth proportional to 291.63, 402.66 and 213.09 is: 294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.63 : 402.66 = 213.09 : x
  2. Step 2: Convert to fraction form
    291.63/402.66 = 213.09/x
  3. Step 3: Cross multiply
    291.63x = 402.66 × 213.09
  4. Step 4: Simplify right side
    291.63x = 85,802.82
  5. Step 5: Solve for x
    x = 85,802.82/291.63
  6. Step 6: Final answer
    x = 294.22

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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.