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Finding the Fourth Proportional to 304.24, 456.14 and 121.60

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Solution

The fourth proportional to 304.24, 456.14 and 121.60 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.24 : 456.14 = 121.60 : x
  2. Step 2: Convert to fraction form
    304.24/456.14 = 121.60/x
  3. Step 3: Cross multiply
    304.24x = 456.14 × 121.60
  4. Step 4: Simplify right side
    304.24x = 55,466.62
  5. Step 5: Solve for x
    x = 55,466.62/304.24
  6. Step 6: Final answer
    x = 182.31

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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.