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Finding the Fourth Proportional to 175.07, 241.46 and 148.92

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Solution

The fourth proportional to 175.07, 241.46 and 148.92 is: 205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.07 : 241.46 = 148.92 : x
  2. Step 2: Convert to fraction form
    175.07/241.46 = 148.92/x
  3. Step 3: Cross multiply
    175.07x = 241.46 × 148.92
  4. Step 4: Simplify right side
    175.07x = 35,958.22
  5. Step 5: Solve for x
    x = 35,958.22/175.07
  6. Step 6: Final answer
    x = 205.39

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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.