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Finding the Fourth Proportional to 270.22, 403.24 and 241.10

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Solution

The fourth proportional to 270.22, 403.24 and 241.10 is: 359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.22 : 403.24 = 241.10 : x
  2. Step 2: Convert to fraction form
    270.22/403.24 = 241.10/x
  3. Step 3: Cross multiply
    270.22x = 403.24 × 241.10
  4. Step 4: Simplify right side
    270.22x = 97,221.16
  5. Step 5: Solve for x
    x = 97,221.16/270.22
  6. Step 6: Final answer
    x = 359.79

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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.