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Finding the Fourth Proportional to 180.22, 248.64 and 106.54

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Solution

The fourth proportional to 180.22, 248.64 and 106.54 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 248.64 = 106.54 : x
  2. Step 2: Convert to fraction form
    180.22/248.64 = 106.54/x
  3. Step 3: Cross multiply
    180.22x = 248.64 × 106.54
  4. Step 4: Simplify right side
    180.22x = 26,490.11
  5. Step 5: Solve for x
    x = 26,490.11/180.22
  6. Step 6: Final answer
    x = 146.99

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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.