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Finding the Fourth Proportional to 175.76, 241.52 and 146.60

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Solution

The fourth proportional to 175.76, 241.52 and 146.60 is: 201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.76 : 241.52 = 146.60 : x
  2. Step 2: Convert to fraction form
    175.76/241.52 = 146.60/x
  3. Step 3: Cross multiply
    175.76x = 241.52 × 146.60
  4. Step 4: Simplify right side
    175.76x = 35,404.89
  5. Step 5: Solve for x
    x = 35,404.89/175.76
  6. Step 6: Final answer
    x = 201.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.