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Finding the Fourth Proportional to 230.04, 317.30 and 195.39

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Solution

The fourth proportional to 230.04, 317.30 and 195.39 is: 269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 317.30 = 195.39 : x
  2. Step 2: Convert to fraction form
    230.04/317.30 = 195.39/x
  3. Step 3: Cross multiply
    230.04x = 317.30 × 195.39
  4. Step 4: Simplify right side
    230.04x = 61,996.27
  5. Step 5: Solve for x
    x = 61,996.27/230.04
  6. Step 6: Final answer
    x = 269.50

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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.