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Finding the Fourth Proportional to 303.28, 454.72 and 97.78

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Solution

The fourth proportional to 303.28, 454.72 and 97.78 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.28 : 454.72 = 97.78 : x
  2. Step 2: Convert to fraction form
    303.28/454.72 = 97.78/x
  3. Step 3: Cross multiply
    303.28x = 454.72 × 97.78
  4. Step 4: Simplify right side
    303.28x = 44,462.52
  5. Step 5: Solve for x
    x = 44,462.52/303.28
  6. Step 6: Final answer
    x = 146.61

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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.