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Finding the Fourth Proportional to 303.49, 455.24 and 201.43

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Solution

The fourth proportional to 303.49, 455.24 and 201.43 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.49 : 455.24 = 201.43 : x
  2. Step 2: Convert to fraction form
    303.49/455.24 = 201.43/x
  3. Step 3: Cross multiply
    303.49x = 455.24 × 201.43
  4. Step 4: Simplify right side
    303.49x = 91,695.71
  5. Step 5: Solve for x
    x = 91,695.71/303.49
  6. Step 6: Final answer
    x = 302.14

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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.