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Finding the Fourth Proportional to 251.61, 377.16 and 208.02

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Solution

The fourth proportional to 251.61, 377.16 and 208.02 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.61 : 377.16 = 208.02 : x
  2. Step 2: Convert to fraction form
    251.61/377.16 = 208.02/x
  3. Step 3: Cross multiply
    251.61x = 377.16 × 208.02
  4. Step 4: Simplify right side
    251.61x = 78,455.34
  5. Step 5: Solve for x
    x = 78,455.34/251.61
  6. Step 6: Final answer
    x = 311.82

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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.