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Finding the Fourth Proportional to 175.66, 264.44 and 160.54

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Solution

The fourth proportional to 175.66, 264.44 and 160.54 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.66 : 264.44 = 160.54 : x
  2. Step 2: Convert to fraction form
    175.66/264.44 = 160.54/x
  3. Step 3: Cross multiply
    175.66x = 264.44 × 160.54
  4. Step 4: Simplify right side
    175.66x = 42,453.20
  5. Step 5: Solve for x
    x = 42,453.20/175.66
  6. Step 6: Final answer
    x = 241.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.