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Finding the Fourth Proportional to 241.07, 361.76 and 132.93

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Solution

The fourth proportional to 241.07, 361.76 and 132.93 is: 199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.07 : 361.76 = 132.93 : x
  2. Step 2: Convert to fraction form
    241.07/361.76 = 132.93/x
  3. Step 3: Cross multiply
    241.07x = 361.76 × 132.93
  4. Step 4: Simplify right side
    241.07x = 48,088.09
  5. Step 5: Solve for x
    x = 48,088.09/241.07
  6. Step 6: Final answer
    x = 199.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.