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Finding the Fourth Proportional to 208.49, 287.75 and 146.28

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Solution

The fourth proportional to 208.49, 287.75 and 146.28 is: 201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 287.75 = 146.28 : x
  2. Step 2: Convert to fraction form
    208.49/287.75 = 146.28/x
  3. Step 3: Cross multiply
    208.49x = 287.75 × 146.28
  4. Step 4: Simplify right side
    208.49x = 42,091.34
  5. Step 5: Solve for x
    x = 42,091.34/208.49
  6. Step 6: Final answer
    x = 201.89

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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.