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Finding the Fourth Proportional to 181.61, 272.91 and 177.21

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Solution

The fourth proportional to 181.61, 272.91 and 177.21 is: 266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.61 : 272.91 = 177.21 : x
  2. Step 2: Convert to fraction form
    181.61/272.91 = 177.21/x
  3. Step 3: Cross multiply
    181.61x = 272.91 × 177.21
  4. Step 4: Simplify right side
    181.61x = 48,362.38
  5. Step 5: Solve for x
    x = 48,362.38/181.61
  6. Step 6: Final answer
    x = 266.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.