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Finding the Fourth Proportional to 181.09, 270.53 and 177.67

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Solution

The fourth proportional to 181.09, 270.53 and 177.67 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.09 : 270.53 = 177.67 : x
  2. Step 2: Convert to fraction form
    181.09/270.53 = 177.67/x
  3. Step 3: Cross multiply
    181.09x = 270.53 × 177.67
  4. Step 4: Simplify right side
    181.09x = 48,065.07
  5. Step 5: Solve for x
    x = 48,065.07/181.09
  6. Step 6: Final answer
    x = 265.42

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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.