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Finding the Fourth Proportional to 338.19, 466.74 and 255.17

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Solution

The fourth proportional to 338.19, 466.74 and 255.17 is: 352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.19 : 466.74 = 255.17 : x
  2. Step 2: Convert to fraction form
    338.19/466.74 = 255.17/x
  3. Step 3: Cross multiply
    338.19x = 466.74 × 255.17
  4. Step 4: Simplify right side
    338.19x = 119,095.71
  5. Step 5: Solve for x
    x = 119,095.71/338.19
  6. Step 6: Final answer
    x = 352.16

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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.