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Finding the Fourth Proportional to 179.85, 248.10 and 106.16

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Solution

The fourth proportional to 179.85, 248.10 and 106.16 is: 146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.85 : 248.10 = 106.16 : x
  2. Step 2: Convert to fraction form
    179.85/248.10 = 106.16/x
  3. Step 3: Cross multiply
    179.85x = 248.10 × 106.16
  4. Step 4: Simplify right side
    179.85x = 26,338.30
  5. Step 5: Solve for x
    x = 26,338.30/179.85
  6. Step 6: Final answer
    x = 146.45

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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.