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Finding the Fourth Proportional to 220.10, 303.75 and 153.83

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Solution

The fourth proportional to 220.10, 303.75 and 153.83 is: 212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.10 : 303.75 = 153.83 : x
  2. Step 2: Convert to fraction form
    220.10/303.75 = 153.83/x
  3. Step 3: Cross multiply
    220.10x = 303.75 × 153.83
  4. Step 4: Simplify right side
    220.10x = 46,726.62
  5. Step 5: Solve for x
    x = 46,726.62/220.10
  6. Step 6: Final answer
    x = 212.30

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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.