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Finding the Fourth Proportional to 220.09, 303.89 and 146.53

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Solution

The fourth proportional to 220.09, 303.89 and 146.53 is: 202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.09 : 303.89 = 146.53 : x
  2. Step 2: Convert to fraction form
    220.09/303.89 = 146.53/x
  3. Step 3: Cross multiply
    220.09x = 303.89 × 146.53
  4. Step 4: Simplify right side
    220.09x = 44,529.00
  5. Step 5: Solve for x
    x = 44,529.00/220.09
  6. Step 6: Final answer
    x = 202.32

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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.