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Finding the Fourth Proportional to 179.93, 248.25 and 106.19

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Solution

The fourth proportional to 179.93, 248.25 and 106.19 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.93 : 248.25 = 106.19 : x
  2. Step 2: Convert to fraction form
    179.93/248.25 = 106.19/x
  3. Step 3: Cross multiply
    179.93x = 248.25 × 106.19
  4. Step 4: Simplify right side
    179.93x = 26,360.43
  5. Step 5: Solve for x
    x = 26,360.43/179.93
  6. Step 6: Final answer
    x = 146.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.