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Finding the Fourth Proportional to 175.85, 264.27 and 174.02

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Solution

The fourth proportional to 175.85, 264.27 and 174.02 is: 261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.85 : 264.27 = 174.02 : x
  2. Step 2: Convert to fraction form
    175.85/264.27 = 174.02/x
  3. Step 3: Cross multiply
    175.85x = 264.27 × 174.02
  4. Step 4: Simplify right side
    175.85x = 45,988.27
  5. Step 5: Solve for x
    x = 45,988.27/175.85
  6. Step 6: Final answer
    x = 261.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.