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Finding the Fourth Proportional to 309.65, 463.85 and 147.44

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Solution

The fourth proportional to 309.65, 463.85 and 147.44 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.65 : 463.85 = 147.44 : x
  2. Step 2: Convert to fraction form
    309.65/463.85 = 147.44/x
  3. Step 3: Cross multiply
    309.65x = 463.85 × 147.44
  4. Step 4: Simplify right side
    309.65x = 68,386.99
  5. Step 5: Solve for x
    x = 68,386.99/309.65
  6. Step 6: Final answer
    x = 220.86

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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.