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Finding the Fourth Proportional to 208.15, 287.16 and 133.45

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Solution

The fourth proportional to 208.15, 287.16 and 133.45 is: 184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.15 : 287.16 = 133.45 : x
  2. Step 2: Convert to fraction form
    208.15/287.16 = 133.45/x
  3. Step 3: Cross multiply
    208.15x = 287.16 × 133.45
  4. Step 4: Simplify right side
    208.15x = 38,321.03
  5. Step 5: Solve for x
    x = 38,321.03/208.15
  6. Step 6: Final answer
    x = 184.10

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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.