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Finding the Fourth Proportional to 208.54, 287.50 and 202.15

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Solution

The fourth proportional to 208.54, 287.50 and 202.15 is: 278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 287.50 = 202.15 : x
  2. Step 2: Convert to fraction form
    208.54/287.50 = 202.15/x
  3. Step 3: Cross multiply
    208.54x = 287.50 × 202.15
  4. Step 4: Simplify right side
    208.54x = 58,118.13
  5. Step 5: Solve for x
    x = 58,118.13/208.54
  6. Step 6: Final answer
    x = 278.69

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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.