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Finding the Fourth Proportional to 175.20, 261.30 and 171.60

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Solution

The fourth proportional to 175.20, 261.30 and 171.60 is: 255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 261.30 = 171.60 : x
  2. Step 2: Convert to fraction form
    175.20/261.30 = 171.60/x
  3. Step 3: Cross multiply
    175.20x = 261.30 × 171.60
  4. Step 4: Simplify right side
    175.20x = 44,839.08
  5. Step 5: Solve for x
    x = 44,839.08/175.20
  6. Step 6: Final answer
    x = 255.93

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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.