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Finding the Fourth Proportional to 208.26, 310.71 and 187.74

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Solution

The fourth proportional to 208.26, 310.71 and 187.74 is: 280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 310.71 = 187.74 : x
  2. Step 2: Convert to fraction form
    208.26/310.71 = 187.74/x
  3. Step 3: Cross multiply
    208.26x = 310.71 × 187.74
  4. Step 4: Simplify right side
    208.26x = 58,332.70
  5. Step 5: Solve for x
    x = 58,332.70/208.26
  6. Step 6: Final answer
    x = 280.10

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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.