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Finding the Fourth Proportional to 212.60, 318.69 and 84.26

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Solution

The fourth proportional to 212.60, 318.69 and 84.26 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 318.69 = 84.26 : x
  2. Step 2: Convert to fraction form
    212.60/318.69 = 84.26/x
  3. Step 3: Cross multiply
    212.60x = 318.69 × 84.26
  4. Step 4: Simplify right side
    212.60x = 26,852.82
  5. Step 5: Solve for x
    x = 26,852.82/212.60
  6. Step 6: Final answer
    x = 126.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.