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Finding the Fourth Proportional to 309.64, 426.94 and 193.08

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Solution

The fourth proportional to 309.64, 426.94 and 193.08 is: 266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 426.94 = 193.08 : x
  2. Step 2: Convert to fraction form
    309.64/426.94 = 193.08/x
  3. Step 3: Cross multiply
    309.64x = 426.94 × 193.08
  4. Step 4: Simplify right side
    309.64x = 82,433.58
  5. Step 5: Solve for x
    x = 82,433.58/309.64
  6. Step 6: Final answer
    x = 266.22

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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.