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Finding the Fourth Proportional to 175.14, 261.18 and 165.56

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Solution

The fourth proportional to 175.14, 261.18 and 165.56 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.14 : 261.18 = 165.56 : x
  2. Step 2: Convert to fraction form
    175.14/261.18 = 165.56/x
  3. Step 3: Cross multiply
    175.14x = 261.18 × 165.56
  4. Step 4: Simplify right side
    175.14x = 43,239.65
  5. Step 5: Solve for x
    x = 43,239.65/175.14
  6. Step 6: Final answer
    x = 246.89

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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.