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Finding the Fourth Proportional to 309.22, 463.95 and 144.77

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Solution

The fourth proportional to 309.22, 463.95 and 144.77 is: 217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 463.95 = 144.77 : x
  2. Step 2: Convert to fraction form
    309.22/463.95 = 144.77/x
  3. Step 3: Cross multiply
    309.22x = 463.95 × 144.77
  4. Step 4: Simplify right side
    309.22x = 67,166.04
  5. Step 5: Solve for x
    x = 67,166.04/309.22
  6. Step 6: Final answer
    x = 217.21

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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.