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Finding the Fourth Proportional to 181.78, 250.70 and 116.30

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Solution

The fourth proportional to 181.78, 250.70 and 116.30 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 250.70 = 116.30 : x
  2. Step 2: Convert to fraction form
    181.78/250.70 = 116.30/x
  3. Step 3: Cross multiply
    181.78x = 250.70 × 116.30
  4. Step 4: Simplify right side
    181.78x = 29,156.46
  5. Step 5: Solve for x
    x = 29,156.46/181.78
  6. Step 6: Final answer
    x = 160.40

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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.