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Finding the Fourth Proportional to 255.85, 383.81 and 173.63

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Solution

The fourth proportional to 255.85, 383.81 and 173.63 is: 260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.85 : 383.81 = 173.63 : x
  2. Step 2: Convert to fraction form
    255.85/383.81 = 173.63/x
  3. Step 3: Cross multiply
    255.85x = 383.81 × 173.63
  4. Step 4: Simplify right side
    255.85x = 66,641.02
  5. Step 5: Solve for x
    x = 66,641.02/255.85
  6. Step 6: Final answer
    x = 260.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.