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Finding the Fourth Proportional to 208.30, 310.87 and 185.24

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Solution

The fourth proportional to 208.30, 310.87 and 185.24 is: 276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.30 : 310.87 = 185.24 : x
  2. Step 2: Convert to fraction form
    208.30/310.87 = 185.24/x
  3. Step 3: Cross multiply
    208.30x = 310.87 × 185.24
  4. Step 4: Simplify right side
    208.30x = 57,585.40
  5. Step 5: Solve for x
    x = 57,585.40/208.30
  6. Step 6: Final answer
    x = 276.45

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Why These Related Problems?

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