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Finding the Fourth Proportional to 304.39, 420.03 and 166.39

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Solution

The fourth proportional to 304.39, 420.03 and 166.39 is: 229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.39 : 420.03 = 166.39 : x
  2. Step 2: Convert to fraction form
    304.39/420.03 = 166.39/x
  3. Step 3: Cross multiply
    304.39x = 420.03 × 166.39
  4. Step 4: Simplify right side
    304.39x = 69,888.79
  5. Step 5: Solve for x
    x = 69,888.79/304.39
  6. Step 6: Final answer
    x = 229.60

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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.