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Finding the Fourth Proportional to 315.36, 471.81 and 212.15

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Solution

The fourth proportional to 315.36, 471.81 and 212.15 is: 317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.36 : 471.81 = 212.15 : x
  2. Step 2: Convert to fraction form
    315.36/471.81 = 212.15/x
  3. Step 3: Cross multiply
    315.36x = 471.81 × 212.15
  4. Step 4: Simplify right side
    315.36x = 100,094.49
  5. Step 5: Solve for x
    x = 100,094.49/315.36
  6. Step 6: Final answer
    x = 317.40

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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.