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Finding the Fourth Proportional to 220.02, 303.75 and 146.46

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Solution

The fourth proportional to 220.02, 303.75 and 146.46 is: 202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.02 : 303.75 = 146.46 : x
  2. Step 2: Convert to fraction form
    220.02/303.75 = 146.46/x
  3. Step 3: Cross multiply
    220.02x = 303.75 × 146.46
  4. Step 4: Simplify right side
    220.02x = 44,487.23
  5. Step 5: Solve for x
    x = 44,487.23/220.02
  6. Step 6: Final answer
    x = 202.20

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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.