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Finding the Fourth Proportional to 179.77, 248.00 and 106.06

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Solution

The fourth proportional to 179.77, 248.00 and 106.06 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.77 : 248.00 = 106.06 : x
  2. Step 2: Convert to fraction form
    179.77/248.00 = 106.06/x
  3. Step 3: Cross multiply
    179.77x = 248.00 × 106.06
  4. Step 4: Simplify right side
    179.77x = 26,301.11
  5. Step 5: Solve for x
    x = 26,301.11/179.77
  6. Step 6: Final answer
    x = 146.31

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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.