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Finding the Fourth Proportional to 255.83, 383.60 and 93.42

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Solution

The fourth proportional to 255.83, 383.60 and 93.42 is: 140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.83 : 383.60 = 93.42 : x
  2. Step 2: Convert to fraction form
    255.83/383.60 = 93.42/x
  3. Step 3: Cross multiply
    255.83x = 383.60 × 93.42
  4. Step 4: Simplify right side
    255.83x = 35,836.15
  5. Step 5: Solve for x
    x = 35,836.15/255.83
  6. Step 6: Final answer
    x = 140.08

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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.