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Finding the Fourth Proportional to 145.24, 217.48 and 119.68

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Solution

The fourth proportional to 145.24, 217.48 and 119.68 is: 179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 217.48 = 119.68 : x
  2. Step 2: Convert to fraction form
    145.24/217.48 = 119.68/x
  3. Step 3: Cross multiply
    145.24x = 217.48 × 119.68
  4. Step 4: Simplify right side
    145.24x = 26,027.30
  5. Step 5: Solve for x
    x = 26,027.30/145.24
  6. Step 6: Final answer
    x = 179.20

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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.