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Finding the Fourth Proportional to 181.63, 249.16 and 176.84

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Solution

The fourth proportional to 181.63, 249.16 and 176.84 is: 242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 249.16 = 176.84 : x
  2. Step 2: Convert to fraction form
    181.63/249.16 = 176.84/x
  3. Step 3: Cross multiply
    181.63x = 249.16 × 176.84
  4. Step 4: Simplify right side
    181.63x = 44,061.45
  5. Step 5: Solve for x
    x = 44,061.45/181.63
  6. Step 6: Final answer
    x = 242.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.