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Finding the Fourth Proportional to 175.82, 264.51 and 107.42

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Solution

The fourth proportional to 175.82, 264.51 and 107.42 is: 161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.82 : 264.51 = 107.42 : x
  2. Step 2: Convert to fraction form
    175.82/264.51 = 107.42/x
  3. Step 3: Cross multiply
    175.82x = 264.51 × 107.42
  4. Step 4: Simplify right side
    175.82x = 28,412.34
  5. Step 5: Solve for x
    x = 28,412.34/175.82
  6. Step 6: Final answer
    x = 161.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.