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Finding the Fourth Proportional to 304.20, 456.25 and 130.90

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Solution

The fourth proportional to 304.20, 456.25 and 130.90 is: 196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 456.25 = 130.90 : x
  2. Step 2: Convert to fraction form
    304.20/456.25 = 130.90/x
  3. Step 3: Cross multiply
    304.20x = 456.25 × 130.90
  4. Step 4: Simplify right side
    304.20x = 59,721.66
  5. Step 5: Solve for x
    x = 59,721.66/304.20
  6. Step 6: Final answer
    x = 196.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.