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Finding the Fourth Proportional to 383.42, 575.14 and 167.02

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Solution

The fourth proportional to 383.42, 575.14 and 167.02 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.42 : 575.14 = 167.02 : x
  2. Step 2: Convert to fraction form
    383.42/575.14 = 167.02/x
  3. Step 3: Cross multiply
    383.42x = 575.14 × 167.02
  4. Step 4: Simplify right side
    383.42x = 96,059.88
  5. Step 5: Solve for x
    x = 96,059.88/383.42
  6. Step 6: Final answer
    x = 250.53

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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.