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Finding the Fourth Proportional to 291.97, 403.09 and 192.67

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Solution

The fourth proportional to 291.97, 403.09 and 192.67 is: 266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.97 : 403.09 = 192.67 : x
  2. Step 2: Convert to fraction form
    291.97/403.09 = 192.67/x
  3. Step 3: Cross multiply
    291.97x = 403.09 × 192.67
  4. Step 4: Simplify right side
    291.97x = 77,663.90
  5. Step 5: Solve for x
    x = 77,663.90/291.97
  6. Step 6: Final answer
    x = 266.00

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Why These Related Problems?

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