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Finding the Fourth Proportional to 291.13, 401.86 and 192.91

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Solution

The fourth proportional to 291.13, 401.86 and 192.91 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.13 : 401.86 = 192.91 : x
  2. Step 2: Convert to fraction form
    291.13/401.86 = 192.91/x
  3. Step 3: Cross multiply
    291.13x = 401.86 × 192.91
  4. Step 4: Simplify right side
    291.13x = 77,522.81
  5. Step 5: Solve for x
    x = 77,522.81/291.13
  6. Step 6: Final answer
    x = 266.28

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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.