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Finding the Fourth Proportional to 255.69, 383.42 and 133.99

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Solution

The fourth proportional to 255.69, 383.42 and 133.99 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.69 : 383.42 = 133.99 : x
  2. Step 2: Convert to fraction form
    255.69/383.42 = 133.99/x
  3. Step 3: Cross multiply
    255.69x = 383.42 × 133.99
  4. Step 4: Simplify right side
    255.69x = 51,373.82
  5. Step 5: Solve for x
    x = 51,373.82/255.69
  6. Step 6: Final answer
    x = 200.92

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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.