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Finding the Fourth Proportional to 255.46, 352.44 and 167.05

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Solution

The fourth proportional to 255.46, 352.44 and 167.05 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.46 : 352.44 = 167.05 : x
  2. Step 2: Convert to fraction form
    255.46/352.44 = 167.05/x
  3. Step 3: Cross multiply
    255.46x = 352.44 × 167.05
  4. Step 4: Simplify right side
    255.46x = 58,875.10
  5. Step 5: Solve for x
    x = 58,875.10/255.46
  6. Step 6: Final answer
    x = 230.47

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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.