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Finding the Fourth Proportional to 175.42, 264.26 and 160.38

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Solution

The fourth proportional to 175.42, 264.26 and 160.38 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.42 : 264.26 = 160.38 : x
  2. Step 2: Convert to fraction form
    175.42/264.26 = 160.38/x
  3. Step 3: Cross multiply
    175.42x = 264.26 × 160.38
  4. Step 4: Simplify right side
    175.42x = 42,382.42
  5. Step 5: Solve for x
    x = 42,382.42/175.42
  6. Step 6: Final answer
    x = 241.61

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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.