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Finding the Fourth Proportional to 304.50, 420.21 and 166.50

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Solution

The fourth proportional to 304.50, 420.21 and 166.50 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 420.21 = 166.50 : x
  2. Step 2: Convert to fraction form
    304.50/420.21 = 166.50/x
  3. Step 3: Cross multiply
    304.50x = 420.21 × 166.50
  4. Step 4: Simplify right side
    304.50x = 69,964.97
  5. Step 5: Solve for x
    x = 69,964.97/304.50
  6. Step 6: Final answer
    x = 229.77

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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.