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Finding the Fourth Proportional to 225.09, 310.30 and 181.35

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Solution

The fourth proportional to 225.09, 310.30 and 181.35 is: 250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.09 : 310.30 = 181.35 : x
  2. Step 2: Convert to fraction form
    225.09/310.30 = 181.35/x
  3. Step 3: Cross multiply
    225.09x = 310.30 × 181.35
  4. Step 4: Simplify right side
    225.09x = 56,272.91
  5. Step 5: Solve for x
    x = 56,272.91/225.09
  6. Step 6: Final answer
    x = 250.00

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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.