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Finding the Fourth Proportional to 309.12, 426.64 and 192.76

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Solution

The fourth proportional to 309.12, 426.64 and 192.76 is: 266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 426.64 = 192.76 : x
  2. Step 2: Convert to fraction form
    309.12/426.64 = 192.76/x
  3. Step 3: Cross multiply
    309.12x = 426.64 × 192.76
  4. Step 4: Simplify right side
    309.12x = 82,239.13
  5. Step 5: Solve for x
    x = 82,239.13/309.12
  6. Step 6: Final answer
    x = 266.04

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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.