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Finding the Fourth Proportional to 175.84, 261.56 and 167.20

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Solution

The fourth proportional to 175.84, 261.56 and 167.20 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 261.56 = 167.20 : x
  2. Step 2: Convert to fraction form
    175.84/261.56 = 167.20/x
  3. Step 3: Cross multiply
    175.84x = 261.56 × 167.20
  4. Step 4: Simplify right side
    175.84x = 43,732.83
  5. Step 5: Solve for x
    x = 43,732.83/175.84
  6. Step 6: Final answer
    x = 248.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.