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Finding the Fourth Proportional to 310.24, 465 and 166.06

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Solution

The fourth proportional to 310.24, 465 and 166.06 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 465 = 166.06 : x
  2. Step 2: Convert to fraction form
    310.24/465 = 166.06/x
  3. Step 3: Cross multiply
    310.24x = 465 × 166.06
  4. Step 4: Simplify right side
    310.24x = 77,217.90
  5. Step 5: Solve for x
    x = 77,217.90/310.24
  6. Step 6: Final answer
    x = 248.90

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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.