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Finding the Fourth Proportional to 249.52, 373.64 and 208.84

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Solution

The fourth proportional to 249.52, 373.64 and 208.84 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.52 : 373.64 = 208.84 : x
  2. Step 2: Convert to fraction form
    249.52/373.64 = 208.84/x
  3. Step 3: Cross multiply
    249.52x = 373.64 × 208.84
  4. Step 4: Simplify right side
    249.52x = 78,030.98
  5. Step 5: Solve for x
    x = 78,030.98/249.52
  6. Step 6: Final answer
    x = 312.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.