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Finding the Fourth Proportional to 208.64, 287.76 and 132.90

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Solution

The fourth proportional to 208.64, 287.76 and 132.90 is: 183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 287.76 = 132.90 : x
  2. Step 2: Convert to fraction form
    208.64/287.76 = 132.90/x
  3. Step 3: Cross multiply
    208.64x = 287.76 × 132.90
  4. Step 4: Simplify right side
    208.64x = 38,243.30
  5. Step 5: Solve for x
    x = 38,243.30/208.64
  6. Step 6: Final answer
    x = 183.30

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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.