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Finding the Fourth Proportional to 230.34, 317.90 and 137.09

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Solution

The fourth proportional to 230.34, 317.90 and 137.09 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 317.90 = 137.09 : x
  2. Step 2: Convert to fraction form
    230.34/317.90 = 137.09/x
  3. Step 3: Cross multiply
    230.34x = 317.90 × 137.09
  4. Step 4: Simplify right side
    230.34x = 43,579.66
  5. Step 5: Solve for x
    x = 43,579.66/230.34
  6. Step 6: Final answer
    x = 189.20

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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.