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Finding the Fourth Proportional to 309.20, 463.14 and 146.64

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Solution

The fourth proportional to 309.20, 463.14 and 146.64 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.20 : 463.14 = 146.64 : x
  2. Step 2: Convert to fraction form
    309.20/463.14 = 146.64/x
  3. Step 3: Cross multiply
    309.20x = 463.14 × 146.64
  4. Step 4: Simplify right side
    309.20x = 67,914.85
  5. Step 5: Solve for x
    x = 67,914.85/309.20
  6. Step 6: Final answer
    x = 219.65

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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.