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Finding the Fourth Proportional to 272.15, 408.14 and 118.07

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Solution

The fourth proportional to 272.15, 408.14 and 118.07 is: 177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.15 : 408.14 = 118.07 : x
  2. Step 2: Convert to fraction form
    272.15/408.14 = 118.07/x
  3. Step 3: Cross multiply
    272.15x = 408.14 × 118.07
  4. Step 4: Simplify right side
    272.15x = 48,186.46
  5. Step 5: Solve for x
    x = 48,186.46/272.15
  6. Step 6: Final answer
    x = 177.06

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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.