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Finding the Fourth Proportional to 212.20, 315.93 and 212.20

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Solution

The fourth proportional to 212.20, 315.93 and 212.20 is: 315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.20 : 315.93 = 212.20 : x
  2. Step 2: Convert to fraction form
    212.20/315.93 = 212.20/x
  3. Step 3: Cross multiply
    212.20x = 315.93 × 212.20
  4. Step 4: Simplify right side
    212.20x = 67,040.35
  5. Step 5: Solve for x
    x = 67,040.35/212.20
  6. Step 6: Final answer
    x = 315.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.