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Finding the Fourth Proportional to 272.35, 407.76 and 180.46

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Solution

The fourth proportional to 272.35, 407.76 and 180.46 is: 270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.35 : 407.76 = 180.46 : x
  2. Step 2: Convert to fraction form
    272.35/407.76 = 180.46/x
  3. Step 3: Cross multiply
    272.35x = 407.76 × 180.46
  4. Step 4: Simplify right side
    272.35x = 73,584.37
  5. Step 5: Solve for x
    x = 73,584.37/272.35
  6. Step 6: Final answer
    x = 270.18

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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.