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Finding the Fourth Proportional to 255.69, 383.63 and 118.71

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Solution

The fourth proportional to 255.69, 383.63 and 118.71 is: 178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.69 : 383.63 = 118.71 : x
  2. Step 2: Convert to fraction form
    255.69/383.63 = 118.71/x
  3. Step 3: Cross multiply
    255.69x = 383.63 × 118.71
  4. Step 4: Simplify right side
    255.69x = 45,540.12
  5. Step 5: Solve for x
    x = 45,540.12/255.69
  6. Step 6: Final answer
    x = 178.11

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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.