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Finding the Fourth Proportional to 302.73, 454.29 and 140.46

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Solution

The fourth proportional to 302.73, 454.29 and 140.46 is: 210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.73 : 454.29 = 140.46 : x
  2. Step 2: Convert to fraction form
    302.73/454.29 = 140.46/x
  3. Step 3: Cross multiply
    302.73x = 454.29 × 140.46
  4. Step 4: Simplify right side
    302.73x = 63,809.57
  5. Step 5: Solve for x
    x = 63,809.57/302.73
  6. Step 6: Final answer
    x = 210.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.