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Finding the Fourth Proportional to 325.19, 448.73 and 185.30

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Solution

The fourth proportional to 325.19, 448.73 and 185.30 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.19 : 448.73 = 185.30 : x
  2. Step 2: Convert to fraction form
    325.19/448.73 = 185.30/x
  3. Step 3: Cross multiply
    325.19x = 448.73 × 185.30
  4. Step 4: Simplify right side
    325.19x = 83,146.50
  5. Step 5: Solve for x
    x = 83,146.50/325.19
  6. Step 6: Final answer
    x = 255.68

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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.