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Finding the Fourth Proportional to 312.10, 430.63 and 181.04

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Solution

The fourth proportional to 312.10, 430.63 and 181.04 is: 249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.10 : 430.63 = 181.04 : x
  2. Step 2: Convert to fraction form
    312.10/430.63 = 181.04/x
  3. Step 3: Cross multiply
    312.10x = 430.63 × 181.04
  4. Step 4: Simplify right side
    312.10x = 77,961.26
  5. Step 5: Solve for x
    x = 77,961.26/312.10
  6. Step 6: Final answer
    x = 249.80

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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.