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Finding the Fourth Proportional to 208.32, 312.96 and 180.48

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Solution

The fourth proportional to 208.32, 312.96 and 180.48 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.32 : 312.96 = 180.48 : x
  2. Step 2: Convert to fraction form
    208.32/312.96 = 180.48/x
  3. Step 3: Cross multiply
    208.32x = 312.96 × 180.48
  4. Step 4: Simplify right side
    208.32x = 56,483.02
  5. Step 5: Solve for x
    x = 56,483.02/208.32
  6. Step 6: Final answer
    x = 271.14

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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.