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Finding the Fourth Proportional to 180.16, 248.61 and 106.47

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Solution

The fourth proportional to 180.16, 248.61 and 106.47 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 248.61 = 106.47 : x
  2. Step 2: Convert to fraction form
    180.16/248.61 = 106.47/x
  3. Step 3: Cross multiply
    180.16x = 248.61 × 106.47
  4. Step 4: Simplify right side
    180.16x = 26,469.51
  5. Step 5: Solve for x
    x = 26,469.51/180.16
  6. Step 6: Final answer
    x = 146.92

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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.