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Finding the Fourth Proportional to 383.12, 574.22 and 177.40

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Solution

The fourth proportional to 383.12, 574.22 and 177.40 is: 265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.12 : 574.22 = 177.40 : x
  2. Step 2: Convert to fraction form
    383.12/574.22 = 177.40/x
  3. Step 3: Cross multiply
    383.12x = 574.22 × 177.40
  4. Step 4: Simplify right side
    383.12x = 101,866.63
  5. Step 5: Solve for x
    x = 101,866.63/383.12
  6. Step 6: Final answer
    x = 265.89

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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.