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Finding the Fourth Proportional to 423.06, 634.65 and 166.50

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Solution

The fourth proportional to 423.06, 634.65 and 166.50 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 634.65 = 166.50 : x
  2. Step 2: Convert to fraction form
    423.06/634.65 = 166.50/x
  3. Step 3: Cross multiply
    423.06x = 634.65 × 166.50
  4. Step 4: Simplify right side
    423.06x = 105,669.23
  5. Step 5: Solve for x
    x = 105,669.23/423.06
  6. Step 6: Final answer
    x = 249.77

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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.