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Finding the Fourth Proportional to 304.38, 456.84 and 142.14

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Solution

The fourth proportional to 304.38, 456.84 and 142.14 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 456.84 = 142.14 : x
  2. Step 2: Convert to fraction form
    304.38/456.84 = 142.14/x
  3. Step 3: Cross multiply
    304.38x = 456.84 × 142.14
  4. Step 4: Simplify right side
    304.38x = 64,935.24
  5. Step 5: Solve for x
    x = 64,935.24/304.38
  6. Step 6: Final answer
    x = 213.34

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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.