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Finding the Fourth Proportional to 179.11, 268.51 and 140.47

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Solution

The fourth proportional to 179.11, 268.51 and 140.47 is: 210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.11 : 268.51 = 140.47 : x
  2. Step 2: Convert to fraction form
    179.11/268.51 = 140.47/x
  3. Step 3: Cross multiply
    179.11x = 268.51 × 140.47
  4. Step 4: Simplify right side
    179.11x = 37,717.60
  5. Step 5: Solve for x
    x = 37,717.60/179.11
  6. Step 6: Final answer
    x = 210.58

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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.