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Finding the Fourth Proportional to 208.66, 287.76 and 135.04

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Solution

The fourth proportional to 208.66, 287.76 and 135.04 is: 186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 287.76 = 135.04 : x
  2. Step 2: Convert to fraction form
    208.66/287.76 = 135.04/x
  3. Step 3: Cross multiply
    208.66x = 287.76 × 135.04
  4. Step 4: Simplify right side
    208.66x = 38,859.11
  5. Step 5: Solve for x
    x = 38,859.11/208.66
  6. Step 6: Final answer
    x = 186.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.