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Finding the Fourth Proportional to 309.92, 464.48 and 155.84

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Solution

The fourth proportional to 309.92, 464.48 and 155.84 is: 233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 464.48 = 155.84 : x
  2. Step 2: Convert to fraction form
    309.92/464.48 = 155.84/x
  3. Step 3: Cross multiply
    309.92x = 464.48 × 155.84
  4. Step 4: Simplify right side
    309.92x = 72,384.56
  5. Step 5: Solve for x
    x = 72,384.56/309.92
  6. Step 6: Final answer
    x = 233.56

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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.