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Finding the Fourth Proportional to 180.16, 248.63 and 101.49

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Solution

The fourth proportional to 180.16, 248.63 and 101.49 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 248.63 = 101.49 : x
  2. Step 2: Convert to fraction form
    180.16/248.63 = 101.49/x
  3. Step 3: Cross multiply
    180.16x = 248.63 × 101.49
  4. Step 4: Simplify right side
    180.16x = 25,232.95
  5. Step 5: Solve for x
    x = 25,232.95/180.16
  6. Step 6: Final answer
    x = 140.06

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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.