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Finding the Fourth Proportional to 383.58, 575.42 and 178.12

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Solution

The fourth proportional to 383.58, 575.42 and 178.12 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.58 : 575.42 = 178.12 : x
  2. Step 2: Convert to fraction form
    383.58/575.42 = 178.12/x
  3. Step 3: Cross multiply
    383.58x = 575.42 × 178.12
  4. Step 4: Simplify right side
    383.58x = 102,493.81
  5. Step 5: Solve for x
    x = 102,493.81/383.58
  6. Step 6: Final answer
    x = 267.20

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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.