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Finding the Fourth Proportional to 230, 317.48 and 138

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Solution

The fourth proportional to 230, 317.48 and 138 is: 190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 317.48 = 138 : x
  2. Step 2: Convert to fraction form
    230/317.48 = 138/x
  3. Step 3: Cross multiply
    230x = 317.48 × 138
  4. Step 4: Simplify right side
    230x = 43,812.24
  5. Step 5: Solve for x
    x = 43,812.24/230
  6. Step 6: Final answer
    x = 190.49

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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.