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Finding the Fourth Proportional to 309.37, 463.41 and 193.87

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Solution

The fourth proportional to 309.37, 463.41 and 193.87 is: 290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.37 : 463.41 = 193.87 : x
  2. Step 2: Convert to fraction form
    309.37/463.41 = 193.87/x
  3. Step 3: Cross multiply
    309.37x = 463.41 × 193.87
  4. Step 4: Simplify right side
    309.37x = 89,841.30
  5. Step 5: Solve for x
    x = 89,841.30/309.37
  6. Step 6: Final answer
    x = 290.40

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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.