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Finding the Fourth Proportional to 383.10, 574.47 and 177.77

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Solution

The fourth proportional to 383.10, 574.47 and 177.77 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.10 : 574.47 = 177.77 : x
  2. Step 2: Convert to fraction form
    383.10/574.47 = 177.77/x
  3. Step 3: Cross multiply
    383.10x = 574.47 × 177.77
  4. Step 4: Simplify right side
    383.10x = 102,120.66
  5. Step 5: Solve for x
    x = 102,120.66/383.10
  6. Step 6: Final answer
    x = 266.56

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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.