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Finding the Fourth Proportional to 212.98, 318.84 and 116.50

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Solution

The fourth proportional to 212.98, 318.84 and 116.50 is: 174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 318.84 = 116.50 : x
  2. Step 2: Convert to fraction form
    212.98/318.84 = 116.50/x
  3. Step 3: Cross multiply
    212.98x = 318.84 × 116.50
  4. Step 4: Simplify right side
    212.98x = 37,144.86
  5. Step 5: Solve for x
    x = 37,144.86/212.98
  6. Step 6: Final answer
    x = 174.41

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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.