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Finding the Fourth Proportional to 338.01, 466.40 and 190.61

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Solution

The fourth proportional to 338.01, 466.40 and 190.61 is: 263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.01 : 466.40 = 190.61 : x
  2. Step 2: Convert to fraction form
    338.01/466.40 = 190.61/x
  3. Step 3: Cross multiply
    338.01x = 466.40 × 190.61
  4. Step 4: Simplify right side
    338.01x = 88,900.50
  5. Step 5: Solve for x
    x = 88,900.50/338.01
  6. Step 6: Final answer
    x = 263.01

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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.