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Finding the Fourth Proportional to 208.40, 312.59 and 92.77

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Solution

The fourth proportional to 208.40, 312.59 and 92.77 is: 139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 312.59 = 92.77 : x
  2. Step 2: Convert to fraction form
    208.40/312.59 = 92.77/x
  3. Step 3: Cross multiply
    208.40x = 312.59 × 92.77
  4. Step 4: Simplify right side
    208.40x = 28,998.42
  5. Step 5: Solve for x
    x = 28,998.42/208.40
  6. Step 6: Final answer
    x = 139.15

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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.