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Finding the Fourth Proportional to 181.34, 250.26 and 102.64

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Solution

The fourth proportional to 181.34, 250.26 and 102.64 is: 141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.34 : 250.26 = 102.64 : x
  2. Step 2: Convert to fraction form
    181.34/250.26 = 102.64/x
  3. Step 3: Cross multiply
    181.34x = 250.26 × 102.64
  4. Step 4: Simplify right side
    181.34x = 25,686.69
  5. Step 5: Solve for x
    x = 25,686.69/181.34
  6. Step 6: Final answer
    x = 141.65

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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.