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Finding the Fourth Proportional to 272.25, 406.53 and 241.47

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Solution

The fourth proportional to 272.25, 406.53 and 241.47 is: 360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.25 : 406.53 = 241.47 : x
  2. Step 2: Convert to fraction form
    272.25/406.53 = 241.47/x
  3. Step 3: Cross multiply
    272.25x = 406.53 × 241.47
  4. Step 4: Simplify right side
    272.25x = 98,164.80
  5. Step 5: Solve for x
    x = 98,164.80/272.25
  6. Step 6: Final answer
    x = 360.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.