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Finding the Fourth Proportional to 182.02, 271.62 and 162.55

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Solution

The fourth proportional to 182.02, 271.62 and 162.55 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.02 : 271.62 = 162.55 : x
  2. Step 2: Convert to fraction form
    182.02/271.62 = 162.55/x
  3. Step 3: Cross multiply
    182.02x = 271.62 × 162.55
  4. Step 4: Simplify right side
    182.02x = 44,150.00
  5. Step 5: Solve for x
    x = 44,150.00/182.02
  6. Step 6: Final answer
    x = 242.56

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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.