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Finding the Fourth Proportional to 180.24, 248.40 and 138.72

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Solution

The fourth proportional to 180.24, 248.40 and 138.72 is: 191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 248.40 = 138.72 : x
  2. Step 2: Convert to fraction form
    180.24/248.40 = 138.72/x
  3. Step 3: Cross multiply
    180.24x = 248.40 × 138.72
  4. Step 4: Simplify right side
    180.24x = 34,458.05
  5. Step 5: Solve for x
    x = 34,458.05/180.24
  6. Step 6: Final answer
    x = 191.18

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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.