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Finding the Fourth Proportional to 208.42, 312.72 and 185.65

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Solution

The fourth proportional to 208.42, 312.72 and 185.65 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 312.72 = 185.65 : x
  2. Step 2: Convert to fraction form
    208.42/312.72 = 185.65/x
  3. Step 3: Cross multiply
    208.42x = 312.72 × 185.65
  4. Step 4: Simplify right side
    208.42x = 58,056.47
  5. Step 5: Solve for x
    x = 58,056.47/208.42
  6. Step 6: Final answer
    x = 278.56

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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.