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Finding the Fourth Proportional to 241.61, 333.47 and 148.43

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Solution

The fourth proportional to 241.61, 333.47 and 148.43 is: 204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.61 : 333.47 = 148.43 : x
  2. Step 2: Convert to fraction form
    241.61/333.47 = 148.43/x
  3. Step 3: Cross multiply
    241.61x = 333.47 × 148.43
  4. Step 4: Simplify right side
    241.61x = 49,499.02
  5. Step 5: Solve for x
    x = 49,499.02/241.61
  6. Step 6: Final answer
    x = 204.87

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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.