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Finding the Fourth Proportional to 303.15, 454.73 and 129.63

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Solution

The fourth proportional to 303.15, 454.73 and 129.63 is: 194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.15 : 454.73 = 129.63 : x
  2. Step 2: Convert to fraction form
    303.15/454.73 = 129.63/x
  3. Step 3: Cross multiply
    303.15x = 454.73 × 129.63
  4. Step 4: Simplify right side
    303.15x = 58,947.71
  5. Step 5: Solve for x
    x = 58,947.71/303.15
  6. Step 6: Final answer
    x = 194.45

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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.