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Finding the Fourth Proportional to 309.11, 463.70 and 146.75

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Solution

The fourth proportional to 309.11, 463.70 and 146.75 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.11 : 463.70 = 146.75 : x
  2. Step 2: Convert to fraction form
    309.11/463.70 = 146.75/x
  3. Step 3: Cross multiply
    309.11x = 463.70 × 146.75
  4. Step 4: Simplify right side
    309.11x = 68,046.02
  5. Step 5: Solve for x
    x = 68,046.02/309.11
  6. Step 6: Final answer
    x = 220.14

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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.