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Finding the Fourth Proportional to 208.61, 312.74 and 127.42

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Solution

The fourth proportional to 208.61, 312.74 and 127.42 is: 191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 312.74 = 127.42 : x
  2. Step 2: Convert to fraction form
    208.61/312.74 = 127.42/x
  3. Step 3: Cross multiply
    208.61x = 312.74 × 127.42
  4. Step 4: Simplify right side
    208.61x = 39,847.13
  5. Step 5: Solve for x
    x = 39,847.13/208.61
  6. Step 6: Final answer
    x = 191.02

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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.