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Finding the Fourth Proportional to 208.78, 312.74 and 160.12

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Solution

The fourth proportional to 208.78, 312.74 and 160.12 is: 239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 312.74 = 160.12 : x
  2. Step 2: Convert to fraction form
    208.78/312.74 = 160.12/x
  3. Step 3: Cross multiply
    208.78x = 312.74 × 160.12
  4. Step 4: Simplify right side
    208.78x = 50,075.93
  5. Step 5: Solve for x
    x = 50,075.93/208.78
  6. Step 6: Final answer
    x = 239.85

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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.