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Finding the Fourth Proportional to 188.65, 281.31 and 173.69

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Solution

The fourth proportional to 188.65, 281.31 and 173.69 is: 259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.65 : 281.31 = 173.69 : x
  2. Step 2: Convert to fraction form
    188.65/281.31 = 173.69/x
  3. Step 3: Cross multiply
    188.65x = 281.31 × 173.69
  4. Step 4: Simplify right side
    188.65x = 48,859.33
  5. Step 5: Solve for x
    x = 48,859.33/188.65
  6. Step 6: Final answer
    x = 259.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.