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Finding the Fourth Proportional to 180.15, 248.55 and 101.46

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Solution

The fourth proportional to 180.15, 248.55 and 101.46 is: 139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 248.55 = 101.46 : x
  2. Step 2: Convert to fraction form
    180.15/248.55 = 101.46/x
  3. Step 3: Cross multiply
    180.15x = 248.55 × 101.46
  4. Step 4: Simplify right side
    180.15x = 25,219.01
  5. Step 5: Solve for x
    x = 25,219.01/180.15
  6. Step 6: Final answer
    x = 139.99

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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.