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Finding the Fourth Proportional to 175.37, 241.89 and 109.86

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Solution

The fourth proportional to 175.37, 241.89 and 109.86 is: 151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 241.89 = 109.86 : x
  2. Step 2: Convert to fraction form
    175.37/241.89 = 109.86/x
  3. Step 3: Cross multiply
    175.37x = 241.89 × 109.86
  4. Step 4: Simplify right side
    175.37x = 26,572.72
  5. Step 5: Solve for x
    x = 26,572.72/175.37
  6. Step 6: Final answer
    x = 151.53

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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.