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Finding the Fourth Proportional to 230.06, 316.56 and 183.26

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Solution

The fourth proportional to 230.06, 316.56 and 183.26 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 316.56 = 183.26 : x
  2. Step 2: Convert to fraction form
    230.06/316.56 = 183.26/x
  3. Step 3: Cross multiply
    230.06x = 316.56 × 183.26
  4. Step 4: Simplify right side
    230.06x = 58,012.79
  5. Step 5: Solve for x
    x = 58,012.79/230.06
  6. Step 6: Final answer
    x = 252.16

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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.