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Finding the Fourth Proportional to 309.71, 464.57 and 165.13

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Solution

The fourth proportional to 309.71, 464.57 and 165.13 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 464.57 = 165.13 : x
  2. Step 2: Convert to fraction form
    309.71/464.57 = 165.13/x
  3. Step 3: Cross multiply
    309.71x = 464.57 × 165.13
  4. Step 4: Simplify right side
    309.71x = 76,714.44
  5. Step 5: Solve for x
    x = 76,714.44/309.71
  6. Step 6: Final answer
    x = 247.70

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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.