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Finding the Fourth Proportional to 180.18, 248.64 and 102.54

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Solution

The fourth proportional to 180.18, 248.64 and 102.54 is: 141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.18 : 248.64 = 102.54 : x
  2. Step 2: Convert to fraction form
    180.18/248.64 = 102.54/x
  3. Step 3: Cross multiply
    180.18x = 248.64 × 102.54
  4. Step 4: Simplify right side
    180.18x = 25,495.55
  5. Step 5: Solve for x
    x = 25,495.55/180.18
  6. Step 6: Final answer
    x = 141.50

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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.