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Finding the Fourth Proportional to 212.40, 322.20 and 212.40

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Solution

The fourth proportional to 212.40, 322.20 and 212.40 is: 322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.40 : 322.20 = 212.40 : x
  2. Step 2: Convert to fraction form
    212.40/322.20 = 212.40/x
  3. Step 3: Cross multiply
    212.40x = 322.20 × 212.40
  4. Step 4: Simplify right side
    212.40x = 68,435.28
  5. Step 5: Solve for x
    x = 68,435.28/212.40
  6. Step 6: Final answer
    x = 322.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.