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Finding the Fourth Proportional to 220.23, 303.99 and 146.58

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Solution

The fourth proportional to 220.23, 303.99 and 146.58 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.23 : 303.99 = 146.58 : x
  2. Step 2: Convert to fraction form
    220.23/303.99 = 146.58/x
  3. Step 3: Cross multiply
    220.23x = 303.99 × 146.58
  4. Step 4: Simplify right side
    220.23x = 44,558.85
  5. Step 5: Solve for x
    x = 44,558.85/220.23
  6. Step 6: Final answer
    x = 202.33

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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.