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Finding the Fourth Proportional to 250.65, 345.90 and 185.19

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Solution

The fourth proportional to 250.65, 345.90 and 185.19 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.65 : 345.90 = 185.19 : x
  2. Step 2: Convert to fraction form
    250.65/345.90 = 185.19/x
  3. Step 3: Cross multiply
    250.65x = 345.90 × 185.19
  4. Step 4: Simplify right side
    250.65x = 64,057.22
  5. Step 5: Solve for x
    x = 64,057.22/250.65
  6. Step 6: Final answer
    x = 255.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.