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Finding the Fourth Proportional to 267.24, 400.91 and 192.83

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Solution

The fourth proportional to 267.24, 400.91 and 192.83 is: 289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 400.91 = 192.83 : x
  2. Step 2: Convert to fraction form
    267.24/400.91 = 192.83/x
  3. Step 3: Cross multiply
    267.24x = 400.91 × 192.83
  4. Step 4: Simplify right side
    267.24x = 77,307.51
  5. Step 5: Solve for x
    x = 77,307.51/267.24
  6. Step 6: Final answer
    x = 289.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.