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Finding the Fourth Proportional to 309.22, 463.49 and 154.77

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Solution

The fourth proportional to 309.22, 463.49 and 154.77 is: 231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 463.49 = 154.77 : x
  2. Step 2: Convert to fraction form
    309.22/463.49 = 154.77/x
  3. Step 3: Cross multiply
    309.22x = 463.49 × 154.77
  4. Step 4: Simplify right side
    309.22x = 71,735.02
  5. Step 5: Solve for x
    x = 71,735.02/309.22
  6. Step 6: Final answer
    x = 231.99

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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.