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Finding the Fourth Proportional to 286.40, 394.88 and 223.68

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Solution

The fourth proportional to 286.40, 394.88 and 223.68 is: 308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 394.88 = 223.68 : x
  2. Step 2: Convert to fraction form
    286.40/394.88 = 223.68/x
  3. Step 3: Cross multiply
    286.40x = 394.88 × 223.68
  4. Step 4: Simplify right side
    286.40x = 88,326.76
  5. Step 5: Solve for x
    x = 88,326.76/286.40
  6. Step 6: Final answer
    x = 308.40

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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.