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Finding the Fourth Proportional to 263.35, 362.63 and 208.07

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Solution

The fourth proportional to 263.35, 362.63 and 208.07 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.35 : 362.63 = 208.07 : x
  2. Step 2: Convert to fraction form
    263.35/362.63 = 208.07/x
  3. Step 3: Cross multiply
    263.35x = 362.63 × 208.07
  4. Step 4: Simplify right side
    263.35x = 75,451.32
  5. Step 5: Solve for x
    x = 75,451.32/263.35
  6. Step 6: Final answer
    x = 286.50

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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.