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Finding the Fourth Proportional to 314.66, 472.02 and 119.54

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Solution

The fourth proportional to 314.66, 472.02 and 119.54 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.66 : 472.02 = 119.54 : x
  2. Step 2: Convert to fraction form
    314.66/472.02 = 119.54/x
  3. Step 3: Cross multiply
    314.66x = 472.02 × 119.54
  4. Step 4: Simplify right side
    314.66x = 56,425.27
  5. Step 5: Solve for x
    x = 56,425.27/314.66
  6. Step 6: Final answer
    x = 179.32

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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.