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Finding the Fourth Proportional to 208.47, 287.80 and 146.36

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Solution

The fourth proportional to 208.47, 287.80 and 146.36 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.47 : 287.80 = 146.36 : x
  2. Step 2: Convert to fraction form
    208.47/287.80 = 146.36/x
  3. Step 3: Cross multiply
    208.47x = 287.80 × 146.36
  4. Step 4: Simplify right side
    208.47x = 42,121.97
  5. Step 5: Solve for x
    x = 42,121.97/208.47
  6. Step 6: Final answer
    x = 202.05

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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.