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Finding the Fourth Proportional to 312.10, 430.58 and 181.14

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Solution

The fourth proportional to 312.10, 430.58 and 181.14 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 430.58 = 181.14 : x
  2. Step 2: Convert to fraction form
    312.10/430.58 = 181.14/x
  3. Step 3: Cross multiply
    312.10x = 430.58 × 181.14
  4. Step 4: Simplify right side
    312.10x = 77,995.26
  5. Step 5: Solve for x
    x = 77,995.26/312.10
  6. Step 6: Final answer
    x = 249.90

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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.