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Finding the Fourth Proportional to 180.26, 248.77 and 106.66

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Solution

The fourth proportional to 180.26, 248.77 and 106.66 is: 147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.26 : 248.77 = 106.66 : x
  2. Step 2: Convert to fraction form
    180.26/248.77 = 106.66/x
  3. Step 3: Cross multiply
    180.26x = 248.77 × 106.66
  4. Step 4: Simplify right side
    180.26x = 26,533.81
  5. Step 5: Solve for x
    x = 26,533.81/180.26
  6. Step 6: Final answer
    x = 147.20

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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.