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Finding the Fourth Proportional to 179.37, 268.77 and 98.25

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Solution

The fourth proportional to 179.37, 268.77 and 98.25 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.37 : 268.77 = 98.25 : x
  2. Step 2: Convert to fraction form
    179.37/268.77 = 98.25/x
  3. Step 3: Cross multiply
    179.37x = 268.77 × 98.25
  4. Step 4: Simplify right side
    179.37x = 26,406.65
  5. Step 5: Solve for x
    x = 26,406.65/179.37
  6. Step 6: Final answer
    x = 147.22

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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.