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Finding the Fourth Proportional to 179.77, 248.07 and 106.10

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Solution

The fourth proportional to 179.77, 248.07 and 106.10 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.77 : 248.07 = 106.10 : x
  2. Step 2: Convert to fraction form
    179.77/248.07 = 106.10/x
  3. Step 3: Cross multiply
    179.77x = 248.07 × 106.10
  4. Step 4: Simplify right side
    179.77x = 26,320.23
  5. Step 5: Solve for x
    x = 26,320.23/179.77
  6. Step 6: Final answer
    x = 146.41

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