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Finding the Fourth Proportional to 303.07, 454.28 and 129.71

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Solution

The fourth proportional to 303.07, 454.28 and 129.71 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.07 : 454.28 = 129.71 : x
  2. Step 2: Convert to fraction form
    303.07/454.28 = 129.71/x
  3. Step 3: Cross multiply
    303.07x = 454.28 × 129.71
  4. Step 4: Simplify right side
    303.07x = 58,924.66
  5. Step 5: Solve for x
    x = 58,924.66/303.07
  6. Step 6: Final answer
    x = 194.43

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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.