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Finding the Fourth Proportional to 181.51, 270.24 and 178.95

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Solution

The fourth proportional to 181.51, 270.24 and 178.95 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.51 : 270.24 = 178.95 : x
  2. Step 2: Convert to fraction form
    181.51/270.24 = 178.95/x
  3. Step 3: Cross multiply
    181.51x = 270.24 × 178.95
  4. Step 4: Simplify right side
    181.51x = 48,359.00
  5. Step 5: Solve for x
    x = 48,359.00/181.51
  6. Step 6: Final answer
    x = 266.43

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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.