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Finding the Fourth Proportional to 179.82, 248.10 and 106.10

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Solution

The fourth proportional to 179.82, 248.10 and 106.10 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.82 : 248.10 = 106.10 : x
  2. Step 2: Convert to fraction form
    179.82/248.10 = 106.10/x
  3. Step 3: Cross multiply
    179.82x = 248.10 × 106.10
  4. Step 4: Simplify right side
    179.82x = 26,323.41
  5. Step 5: Solve for x
    x = 26,323.41/179.82
  6. Step 6: Final answer
    x = 146.39

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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.