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Finding the Fourth Proportional to 309.60, 463.59 and 164.61

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Solution

The fourth proportional to 309.60, 463.59 and 164.61 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 463.59 = 164.61 : x
  2. Step 2: Convert to fraction form
    309.60/463.59 = 164.61/x
  3. Step 3: Cross multiply
    309.60x = 463.59 × 164.61
  4. Step 4: Simplify right side
    309.60x = 76,311.55
  5. Step 5: Solve for x
    x = 76,311.55/309.60
  6. Step 6: Final answer
    x = 246.48

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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.