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Finding the Fourth Proportional to 303.39, 454.90 and 97.95

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Solution

The fourth proportional to 303.39, 454.90 and 97.95 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.39 : 454.90 = 97.95 : x
  2. Step 2: Convert to fraction form
    303.39/454.90 = 97.95/x
  3. Step 3: Cross multiply
    303.39x = 454.90 × 97.95
  4. Step 4: Simplify right side
    303.39x = 44,554.69
  5. Step 5: Solve for x
    x = 44,554.69/303.39
  6. Step 6: Final answer
    x = 146.86

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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.