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Finding the Fourth Proportional to 383, 574.54 and 177.54

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Solution

The fourth proportional to 383, 574.54 and 177.54 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383 : 574.54 = 177.54 : x
  2. Step 2: Convert to fraction form
    383/574.54 = 177.54/x
  3. Step 3: Cross multiply
    383x = 574.54 × 177.54
  4. Step 4: Simplify right side
    383x = 102,002.94
  5. Step 5: Solve for x
    x = 102,002.94/383
  6. Step 6: Final answer
    x = 266.33

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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.