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Finding the Fourth Proportional to 309.15, 463.64 and 146.97

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Solution

The fourth proportional to 309.15, 463.64 and 146.97 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 463.64 = 146.97 : x
  2. Step 2: Convert to fraction form
    309.15/463.64 = 146.97/x
  3. Step 3: Cross multiply
    309.15x = 463.64 × 146.97
  4. Step 4: Simplify right side
    309.15x = 68,140.44
  5. Step 5: Solve for x
    x = 68,140.44/309.15
  6. Step 6: Final answer
    x = 220.41

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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.