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Finding the Fourth Proportional to 304.57, 420.30 and 166.57

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Solution

The fourth proportional to 304.57, 420.30 and 166.57 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.57 : 420.30 = 166.57 : x
  2. Step 2: Convert to fraction form
    304.57/420.30 = 166.57/x
  3. Step 3: Cross multiply
    304.57x = 420.30 × 166.57
  4. Step 4: Simplify right side
    304.57x = 70,006.44
  5. Step 5: Solve for x
    x = 70,006.44/304.57
  6. Step 6: Final answer
    x = 229.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.