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Finding the Fourth Proportional to 272.18, 407.64 and 180.74

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Solution

The fourth proportional to 272.18, 407.64 and 180.74 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.18 : 407.64 = 180.74 : x
  2. Step 2: Convert to fraction form
    272.18/407.64 = 180.74/x
  3. Step 3: Cross multiply
    272.18x = 407.64 × 180.74
  4. Step 4: Simplify right side
    272.18x = 73,676.85
  5. Step 5: Solve for x
    x = 73,676.85/272.18
  6. Step 6: Final answer
    x = 270.69

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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.