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Finding the Fourth Proportional to 310.23, 465.62 and 166.05

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Solution

The fourth proportional to 310.23, 465.62 and 166.05 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 465.62 = 166.05 : x
  2. Step 2: Convert to fraction form
    310.23/465.62 = 166.05/x
  3. Step 3: Cross multiply
    310.23x = 465.62 × 166.05
  4. Step 4: Simplify right side
    310.23x = 77,315.37
  5. Step 5: Solve for x
    x = 77,315.37/310.23
  6. Step 6: Final answer
    x = 249.22

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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.