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Finding the Fourth Proportional to 309.35, 464.87 and 165.17

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Solution

The fourth proportional to 309.35, 464.87 and 165.17 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.35 : 464.87 = 165.17 : x
  2. Step 2: Convert to fraction form
    309.35/464.87 = 165.17/x
  3. Step 3: Cross multiply
    309.35x = 464.87 × 165.17
  4. Step 4: Simplify right side
    309.35x = 76,784.15
  5. Step 5: Solve for x
    x = 76,784.15/309.35
  6. Step 6: Final answer
    x = 248.21

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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.