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Finding the Fourth Proportional to 181.94, 271.72 and 180.06

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Solution

The fourth proportional to 181.94, 271.72 and 180.06 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.94 : 271.72 = 180.06 : x
  2. Step 2: Convert to fraction form
    181.94/271.72 = 180.06/x
  3. Step 3: Cross multiply
    181.94x = 271.72 × 180.06
  4. Step 4: Simplify right side
    181.94x = 48,925.90
  5. Step 5: Solve for x
    x = 48,925.90/181.94
  6. Step 6: Final answer
    x = 268.91

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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.