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Finding the Fourth Proportional to 208.08, 310.74 and 205.82

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Solution

The fourth proportional to 208.08, 310.74 and 205.82 is: 307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 310.74 = 205.82 : x
  2. Step 2: Convert to fraction form
    208.08/310.74 = 205.82/x
  3. Step 3: Cross multiply
    208.08x = 310.74 × 205.82
  4. Step 4: Simplify right side
    208.08x = 63,956.51
  5. Step 5: Solve for x
    x = 63,956.51/208.08
  6. Step 6: Final answer
    x = 307.36

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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.