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Finding the Fourth Proportional to 291.06, 401.90 and 192.78

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Solution

The fourth proportional to 291.06, 401.90 and 192.78 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 401.90 = 192.78 : x
  2. Step 2: Convert to fraction form
    291.06/401.90 = 192.78/x
  3. Step 3: Cross multiply
    291.06x = 401.90 × 192.78
  4. Step 4: Simplify right side
    291.06x = 77,477.32
  5. Step 5: Solve for x
    x = 77,477.32/291.06
  6. Step 6: Final answer
    x = 266.19

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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.