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Finding the Fourth Proportional to 312.10, 430.66 and 181.12

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Solution

The fourth proportional to 312.10, 430.66 and 181.12 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 430.66 = 181.12 : x
  2. Step 2: Convert to fraction form
    312.10/430.66 = 181.12/x
  3. Step 3: Cross multiply
    312.10x = 430.66 × 181.12
  4. Step 4: Simplify right side
    312.10x = 78,001.14
  5. Step 5: Solve for x
    x = 78,001.14/312.10
  6. Step 6: Final answer
    x = 249.92

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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.