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Finding the Fourth Proportional to 182.64, 274.01 and 101.54

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Solution

The fourth proportional to 182.64, 274.01 and 101.54 is: 152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 274.01 = 101.54 : x
  2. Step 2: Convert to fraction form
    182.64/274.01 = 101.54/x
  3. Step 3: Cross multiply
    182.64x = 274.01 × 101.54
  4. Step 4: Simplify right side
    182.64x = 27,821.90
  5. Step 5: Solve for x
    x = 27,821.90/182.64
  6. Step 6: Final answer
    x = 152.33

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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.