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Finding the Fourth Proportional to 181.94, 271.86 and 177.83

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Solution

The fourth proportional to 181.94, 271.86 and 177.83 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.94 : 271.86 = 177.83 : x
  2. Step 2: Convert to fraction form
    181.94/271.86 = 177.83/x
  3. Step 3: Cross multiply
    181.94x = 271.86 × 177.83
  4. Step 4: Simplify right side
    181.94x = 48,343.50
  5. Step 5: Solve for x
    x = 48,343.50/181.94
  6. Step 6: Final answer
    x = 265.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.