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Finding the Fourth Proportional to 304.20, 456.03 and 142.08

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Solution

The fourth proportional to 304.20, 456.03 and 142.08 is: 212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 456.03 = 142.08 : x
  2. Step 2: Convert to fraction form
    304.20/456.03 = 142.08/x
  3. Step 3: Cross multiply
    304.20x = 456.03 × 142.08
  4. Step 4: Simplify right side
    304.20x = 64,792.74
  5. Step 5: Solve for x
    x = 64,792.74/304.20
  6. Step 6: Final answer
    x = 212.99

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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.