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Finding the Fourth Proportional to 303.14, 454.71 and 206.75

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Solution

The fourth proportional to 303.14, 454.71 and 206.75 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 454.71 = 206.75 : x
  2. Step 2: Convert to fraction form
    303.14/454.71 = 206.75/x
  3. Step 3: Cross multiply
    303.14x = 454.71 × 206.75
  4. Step 4: Simplify right side
    303.14x = 94,011.29
  5. Step 5: Solve for x
    x = 94,011.29/303.14
  6. Step 6: Final answer
    x = 310.13

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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.