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Finding the Fourth Proportional to 208.13, 310.80 and 185.45

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Solution

The fourth proportional to 208.13, 310.80 and 185.45 is: 276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 310.80 = 185.45 : x
  2. Step 2: Convert to fraction form
    208.13/310.80 = 185.45/x
  3. Step 3: Cross multiply
    208.13x = 310.80 × 185.45
  4. Step 4: Simplify right side
    208.13x = 57,636.31
  5. Step 5: Solve for x
    x = 57,636.31/208.13
  6. Step 6: Final answer
    x = 276.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.