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Finding the Fourth Proportional to 208.53, 312.59 and 92.87

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Solution

The fourth proportional to 208.53, 312.59 and 92.87 is: 139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 312.59 = 92.87 : x
  2. Step 2: Convert to fraction form
    208.53/312.59 = 92.87/x
  3. Step 3: Cross multiply
    208.53x = 312.59 × 92.87
  4. Step 4: Simplify right side
    208.53x = 29,028.21
  5. Step 5: Solve for x
    x = 29,028.21/208.53
  6. Step 6: Final answer
    x = 139.20

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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.