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Finding the Fourth Proportional to 241.92, 365.76 and 230.16

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Solution

The fourth proportional to 241.92, 365.76 and 230.16 is: 347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 365.76 = 230.16 : x
  2. Step 2: Convert to fraction form
    241.92/365.76 = 230.16/x
  3. Step 3: Cross multiply
    241.92x = 365.76 × 230.16
  4. Step 4: Simplify right side
    241.92x = 84,183.32
  5. Step 5: Solve for x
    x = 84,183.32/241.92
  6. Step 6: Final answer
    x = 347.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.