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Finding the Fourth Proportional to 208.40, 287.42 and 146.12

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Solution

The fourth proportional to 208.40, 287.42 and 146.12 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 287.42 = 146.12 : x
  2. Step 2: Convert to fraction form
    208.40/287.42 = 146.12/x
  3. Step 3: Cross multiply
    208.40x = 287.42 × 146.12
  4. Step 4: Simplify right side
    208.40x = 41,995.64
  5. Step 5: Solve for x
    x = 41,995.64/208.40
  6. Step 6: Final answer
    x = 201.52

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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.