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Finding the Fourth Proportional to 212.84, 318.96 and 116.60

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Solution

The fourth proportional to 212.84, 318.96 and 116.60 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 318.96 = 116.60 : x
  2. Step 2: Convert to fraction form
    212.84/318.96 = 116.60/x
  3. Step 3: Cross multiply
    212.84x = 318.96 × 116.60
  4. Step 4: Simplify right side
    212.84x = 37,190.74
  5. Step 5: Solve for x
    x = 37,190.74/212.84
  6. Step 6: Final answer
    x = 174.74

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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.