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Finding the Fourth Proportional to 241.26, 332.92 and 148.08

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Solution

The fourth proportional to 241.26, 332.92 and 148.08 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.26 : 332.92 = 148.08 : x
  2. Step 2: Convert to fraction form
    241.26/332.92 = 148.08/x
  3. Step 3: Cross multiply
    241.26x = 332.92 × 148.08
  4. Step 4: Simplify right side
    241.26x = 49,298.79
  5. Step 5: Solve for x
    x = 49,298.79/241.26
  6. Step 6: Final answer
    x = 204.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.