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Finding the Fourth Proportional to 251.96, 347.50 and 208.22

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Solution

The fourth proportional to 251.96, 347.50 and 208.22 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 347.50 = 208.22 : x
  2. Step 2: Convert to fraction form
    251.96/347.50 = 208.22/x
  3. Step 3: Cross multiply
    251.96x = 347.50 × 208.22
  4. Step 4: Simplify right side
    251.96x = 72,354.19
  5. Step 5: Solve for x
    x = 72,354.19/251.96
  6. Step 6: Final answer
    x = 287.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.