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Finding the Fourth Proportional to 291.17, 402.08 and 192.98

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Solution

The fourth proportional to 291.17, 402.08 and 192.98 is: 266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.17 : 402.08 = 192.98 : x
  2. Step 2: Convert to fraction form
    291.17/402.08 = 192.98/x
  3. Step 3: Cross multiply
    291.17x = 402.08 × 192.98
  4. Step 4: Simplify right side
    291.17x = 77,593.44
  5. Step 5: Solve for x
    x = 77,593.44/291.17
  6. Step 6: Final answer
    x = 266.49

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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.