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Finding the Fourth Proportional to 309.87, 464.00 and 212.14

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Solution

The fourth proportional to 309.87, 464.00 and 212.14 is: 317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 464.00 = 212.14 : x
  2. Step 2: Convert to fraction form
    309.87/464.00 = 212.14/x
  3. Step 3: Cross multiply
    309.87x = 464.00 × 212.14
  4. Step 4: Simplify right side
    309.87x = 98,432.48
  5. Step 5: Solve for x
    x = 98,432.48/309.87
  6. Step 6: Final answer
    x = 317.66

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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.