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Finding the Fourth Proportional to 309.72, 464.10 and 165.24

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Solution

The fourth proportional to 309.72, 464.10 and 165.24 is: 247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 464.10 = 165.24 : x
  2. Step 2: Convert to fraction form
    309.72/464.10 = 165.24/x
  3. Step 3: Cross multiply
    309.72x = 464.10 × 165.24
  4. Step 4: Simplify right side
    309.72x = 76,687.88
  5. Step 5: Solve for x
    x = 76,687.88/309.72
  6. Step 6: Final answer
    x = 247.60

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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.