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Finding the Fourth Proportional to 175.64, 262.10 and 161.93

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Solution

The fourth proportional to 175.64, 262.10 and 161.93 is: 241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.64 : 262.10 = 161.93 : x
  2. Step 2: Convert to fraction form
    175.64/262.10 = 161.93/x
  3. Step 3: Cross multiply
    175.64x = 262.10 × 161.93
  4. Step 4: Simplify right side
    175.64x = 42,442.91
  5. Step 5: Solve for x
    x = 42,442.91/175.64
  6. Step 6: Final answer
    x = 241.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.