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Finding the Fourth Proportional to 182.41, 271.71 and 180.03

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Solution

The fourth proportional to 182.41, 271.71 and 180.03 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.41 : 271.71 = 180.03 : x
  2. Step 2: Convert to fraction form
    182.41/271.71 = 180.03/x
  3. Step 3: Cross multiply
    182.41x = 271.71 × 180.03
  4. Step 4: Simplify right side
    182.41x = 48,915.95
  5. Step 5: Solve for x
    x = 48,915.95/182.41
  6. Step 6: Final answer
    x = 268.16

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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.