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Finding the Fourth Proportional to 214.45, 295.61 and 179.60

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Solution

The fourth proportional to 214.45, 295.61 and 179.60 is: 247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 295.61 = 179.60 : x
  2. Step 2: Convert to fraction form
    214.45/295.61 = 179.60/x
  3. Step 3: Cross multiply
    214.45x = 295.61 × 179.60
  4. Step 4: Simplify right side
    214.45x = 53,091.56
  5. Step 5: Solve for x
    x = 53,091.56/214.45
  6. Step 6: Final answer
    x = 247.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.