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Finding the Fourth Proportional to 182.60, 274.24 and 173.16

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Solution

The fourth proportional to 182.60, 274.24 and 173.16 is: 260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 274.24 = 173.16 : x
  2. Step 2: Convert to fraction form
    182.60/274.24 = 173.16/x
  3. Step 3: Cross multiply
    182.60x = 274.24 × 173.16
  4. Step 4: Simplify right side
    182.60x = 47,487.40
  5. Step 5: Solve for x
    x = 47,487.40/182.60
  6. Step 6: Final answer
    x = 260.06

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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.