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Finding the Fourth Proportional to 255.99, 383.64 and 134.01

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Solution

The fourth proportional to 255.99, 383.64 and 134.01 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.99 : 383.64 = 134.01 : x
  2. Step 2: Convert to fraction form
    255.99/383.64 = 134.01/x
  3. Step 3: Cross multiply
    255.99x = 383.64 × 134.01
  4. Step 4: Simplify right side
    255.99x = 51,411.60
  5. Step 5: Solve for x
    x = 51,411.60/255.99
  6. Step 6: Final answer
    x = 200.83

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Why These Related Problems?

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