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Finding the Fourth Proportional to 208.97, 288.24 and 146.79

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Solution

The fourth proportional to 208.97, 288.24 and 146.79 is: 202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 288.24 = 146.79 : x
  2. Step 2: Convert to fraction form
    208.97/288.24 = 146.79/x
  3. Step 3: Cross multiply
    208.97x = 288.24 × 146.79
  4. Step 4: Simplify right side
    208.97x = 42,310.75
  5. Step 5: Solve for x
    x = 42,310.75/208.97
  6. Step 6: Final answer
    x = 202.48

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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.