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Finding the Fourth Proportional to 255.58, 383.67 and 195.03

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Solution

The fourth proportional to 255.58, 383.67 and 195.03 is: 292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.58 : 383.67 = 195.03 : x
  2. Step 2: Convert to fraction form
    255.58/383.67 = 195.03/x
  3. Step 3: Cross multiply
    255.58x = 383.67 × 195.03
  4. Step 4: Simplify right side
    255.58x = 74,827.16
  5. Step 5: Solve for x
    x = 74,827.16/255.58
  6. Step 6: Final answer
    x = 292.78

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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.