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Finding the Fourth Proportional to 208.24, 287.47 and 146.39

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Solution

The fourth proportional to 208.24, 287.47 and 146.39 is: 202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 287.47 = 146.39 : x
  2. Step 2: Convert to fraction form
    208.24/287.47 = 146.39/x
  3. Step 3: Cross multiply
    208.24x = 287.47 × 146.39
  4. Step 4: Simplify right side
    208.24x = 42,082.73
  5. Step 5: Solve for x
    x = 42,082.73/208.24
  6. Step 6: Final answer
    x = 202.09

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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.