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Finding the Fourth Proportional to 179.91, 269.77 and 70.19

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Solution

The fourth proportional to 179.91, 269.77 and 70.19 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.91 : 269.77 = 70.19 : x
  2. Step 2: Convert to fraction form
    179.91/269.77 = 70.19/x
  3. Step 3: Cross multiply
    179.91x = 269.77 × 70.19
  4. Step 4: Simplify right side
    179.91x = 18,935.16
  5. Step 5: Solve for x
    x = 18,935.16/179.91
  6. Step 6: Final answer
    x = 105.25

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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.