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Finding the Fourth Proportional to 291.24, 402.05 and 193.28

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Solution

The fourth proportional to 291.24, 402.05 and 193.28 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 402.05 = 193.28 : x
  2. Step 2: Convert to fraction form
    291.24/402.05 = 193.28/x
  3. Step 3: Cross multiply
    291.24x = 402.05 × 193.28
  4. Step 4: Simplify right side
    291.24x = 77,706.70
  5. Step 5: Solve for x
    x = 77,706.70/291.24
  6. Step 6: Final answer
    x = 266.81

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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.