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Finding the Fourth Proportional to 180.15, 269.69 and 147.27

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Solution

The fourth proportional to 180.15, 269.69 and 147.27 is: 220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.15 : 269.69 = 147.27 : x
  2. Step 2: Convert to fraction form
    180.15/269.69 = 147.27/x
  3. Step 3: Cross multiply
    180.15x = 269.69 × 147.27
  4. Step 4: Simplify right side
    180.15x = 39,716.51
  5. Step 5: Solve for x
    x = 39,716.51/180.15
  6. Step 6: Final answer
    x = 220.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.