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Finding the Fourth Proportional to 179.99, 248.44 and 117.06

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Solution

The fourth proportional to 179.99, 248.44 and 117.06 is: 161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.99 : 248.44 = 117.06 : x
  2. Step 2: Convert to fraction form
    179.99/248.44 = 117.06/x
  3. Step 3: Cross multiply
    179.99x = 248.44 × 117.06
  4. Step 4: Simplify right side
    179.99x = 29,081.14
  5. Step 5: Solve for x
    x = 29,081.14/179.99
  6. Step 6: Final answer
    x = 161.58

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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.