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Finding the Fourth Proportional to 180.03, 248.45 and 110.08

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Solution

The fourth proportional to 180.03, 248.45 and 110.08 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.03 : 248.45 = 110.08 : x
  2. Step 2: Convert to fraction form
    180.03/248.45 = 110.08/x
  3. Step 3: Cross multiply
    180.03x = 248.45 × 110.08
  4. Step 4: Simplify right side
    180.03x = 27,348.41
  5. Step 5: Solve for x
    x = 27,348.41/180.03
  6. Step 6: Final answer
    x = 151.91

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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.