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Finding the Fourth Proportional to 255.98, 353 and 167.34

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Solution

The fourth proportional to 255.98, 353 and 167.34 is: 230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 353 = 167.34 : x
  2. Step 2: Convert to fraction form
    255.98/353 = 167.34/x
  3. Step 3: Cross multiply
    255.98x = 353 × 167.34
  4. Step 4: Simplify right side
    255.98x = 59,071.02
  5. Step 5: Solve for x
    x = 59,071.02/255.98
  6. Step 6: Final answer
    x = 230.76

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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.