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Finding the Fourth Proportional to 179.78, 248.00 and 106.07

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Solution

The fourth proportional to 179.78, 248.00 and 106.07 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 248.00 = 106.07 : x
  2. Step 2: Convert to fraction form
    179.78/248.00 = 106.07/x
  3. Step 3: Cross multiply
    179.78x = 248.00 × 106.07
  4. Step 4: Simplify right side
    179.78x = 26,303.59
  5. Step 5: Solve for x
    x = 26,303.59/179.78
  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.