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Finding the Fourth Proportional to 220.34, 303.88 and 146.68

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Solution

The fourth proportional to 220.34, 303.88 and 146.68 is: 202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.34 : 303.88 = 146.68 : x
  2. Step 2: Convert to fraction form
    220.34/303.88 = 146.68/x
  3. Step 3: Cross multiply
    220.34x = 303.88 × 146.68
  4. Step 4: Simplify right side
    220.34x = 44,573.12
  5. Step 5: Solve for x
    x = 44,573.12/220.34
  6. Step 6: Final answer
    x = 202.29

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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.