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Finding the Fourth Proportional to 180.25, 248.59 and 106.54

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Solution

The fourth proportional to 180.25, 248.59 and 106.54 is: 146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 248.59 = 106.54 : x
  2. Step 2: Convert to fraction form
    180.25/248.59 = 106.54/x
  3. Step 3: Cross multiply
    180.25x = 248.59 × 106.54
  4. Step 4: Simplify right side
    180.25x = 26,484.78
  5. Step 5: Solve for x
    x = 26,484.78/180.25
  6. Step 6: Final answer
    x = 146.93

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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.