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Finding the Fourth Proportional to 309.64, 463.82 and 165

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Solution

The fourth proportional to 309.64, 463.82 and 165 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 463.82 = 165 : x
  2. Step 2: Convert to fraction form
    309.64/463.82 = 165/x
  3. Step 3: Cross multiply
    309.64x = 463.82 × 165
  4. Step 4: Simplify right side
    309.64x = 76,530.30
  5. Step 5: Solve for x
    x = 76,530.30/309.64
  6. Step 6: Final answer
    x = 247.16

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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.