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Finding the Fourth Proportional to 229.60, 317.20 and 181.12

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Solution

The fourth proportional to 229.60, 317.20 and 181.12 is: 250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.60 : 317.20 = 181.12 : x
  2. Step 2: Convert to fraction form
    229.60/317.20 = 181.12/x
  3. Step 3: Cross multiply
    229.60x = 317.20 × 181.12
  4. Step 4: Simplify right side
    229.60x = 57,451.26
  5. Step 5: Solve for x
    x = 57,451.26/229.60
  6. Step 6: Final answer
    x = 250.22

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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.