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Finding the Fourth Proportional to 309.25, 463.85 and 146.83

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Solution

The fourth proportional to 309.25, 463.85 and 146.83 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 463.85 = 146.83 : x
  2. Step 2: Convert to fraction form
    309.25/463.85 = 146.83/x
  3. Step 3: Cross multiply
    309.25x = 463.85 × 146.83
  4. Step 4: Simplify right side
    309.25x = 68,106.36
  5. Step 5: Solve for x
    x = 68,106.36/309.25
  6. Step 6: Final answer
    x = 220.23

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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.