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Finding the Fourth Proportional to 208.08, 312.06 and 180.42

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Solution

The fourth proportional to 208.08, 312.06 and 180.42 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 312.06 = 180.42 : x
  2. Step 2: Convert to fraction form
    208.08/312.06 = 180.42/x
  3. Step 3: Cross multiply
    208.08x = 312.06 × 180.42
  4. Step 4: Simplify right side
    208.08x = 56,301.87
  5. Step 5: Solve for x
    x = 56,301.87/208.08
  6. Step 6: Final answer
    x = 270.58

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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.