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Finding the Fourth Proportional to 212.60, 280.74 and 212.60

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Solution

The fourth proportional to 212.60, 280.74 and 212.60 is: 280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 280.74 = 212.60 : x
  2. Step 2: Convert to fraction form
    212.60/280.74 = 212.60/x
  3. Step 3: Cross multiply
    212.60x = 280.74 × 212.60
  4. Step 4: Simplify right side
    212.60x = 59,685.32
  5. Step 5: Solve for x
    x = 59,685.32/212.60
  6. Step 6: Final answer
    x = 280.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.