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Finding the Fourth Proportional to 309.60, 463.96 and 165.40

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Solution

The fourth proportional to 309.60, 463.96 and 165.40 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 463.96 = 165.40 : x
  2. Step 2: Convert to fraction form
    309.60/463.96 = 165.40/x
  3. Step 3: Cross multiply
    309.60x = 463.96 × 165.40
  4. Step 4: Simplify right side
    309.60x = 76,738.98
  5. Step 5: Solve for x
    x = 76,738.98/309.60
  6. Step 6: Final answer
    x = 247.86

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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.