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Finding the Fourth Proportional to 264.47, 365.13 and 181.67

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Solution

The fourth proportional to 264.47, 365.13 and 181.67 is: 250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 365.13 = 181.67 : x
  2. Step 2: Convert to fraction form
    264.47/365.13 = 181.67/x
  3. Step 3: Cross multiply
    264.47x = 365.13 × 181.67
  4. Step 4: Simplify right side
    264.47x = 66,331.34
  5. Step 5: Solve for x
    x = 66,331.34/264.47
  6. Step 6: Final answer
    x = 250.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.