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Finding the Fourth Proportional to 208.72, 312.30 and 180.16

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Solution

The fourth proportional to 208.72, 312.30 and 180.16 is: 269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.72 : 312.30 = 180.16 : x
  2. Step 2: Convert to fraction form
    208.72/312.30 = 180.16/x
  3. Step 3: Cross multiply
    208.72x = 312.30 × 180.16
  4. Step 4: Simplify right side
    208.72x = 56,263.97
  5. Step 5: Solve for x
    x = 56,263.97/208.72
  6. Step 6: Final answer
    x = 269.57

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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.