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Finding the Fourth Proportional to 338.14, 466.61 and 190.77

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Solution

The fourth proportional to 338.14, 466.61 and 190.77 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 466.61 = 190.77 : x
  2. Step 2: Convert to fraction form
    338.14/466.61 = 190.77/x
  3. Step 3: Cross multiply
    338.14x = 466.61 × 190.77
  4. Step 4: Simplify right side
    338.14x = 89,015.19
  5. Step 5: Solve for x
    x = 89,015.19/338.14
  6. Step 6: Final answer
    x = 263.25

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Why These Related Problems?

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