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Finding the Fourth Proportional to 220.14, 303.51 and 180.65

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Solution

The fourth proportional to 220.14, 303.51 and 180.65 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.14 : 303.51 = 180.65 : x
  2. Step 2: Convert to fraction form
    220.14/303.51 = 180.65/x
  3. Step 3: Cross multiply
    220.14x = 303.51 × 180.65
  4. Step 4: Simplify right side
    220.14x = 54,829.08
  5. Step 5: Solve for x
    x = 54,829.08/220.14
  6. Step 6: Final answer
    x = 249.06

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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.