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Finding the Fourth Proportional to 180.17, 248.73 and 110.24

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Solution

The fourth proportional to 180.17, 248.73 and 110.24 is: 152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.17 : 248.73 = 110.24 : x
  2. Step 2: Convert to fraction form
    180.17/248.73 = 110.24/x
  3. Step 3: Cross multiply
    180.17x = 248.73 × 110.24
  4. Step 4: Simplify right side
    180.17x = 27,421.03
  5. Step 5: Solve for x
    x = 27,421.03/180.17
  6. Step 6: Final answer
    x = 152.20

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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.