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Finding the Fourth Proportional to 383.02, 574.47 and 109.14

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Solution

The fourth proportional to 383.02, 574.47 and 109.14 is: 163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.02 : 574.47 = 109.14 : x
  2. Step 2: Convert to fraction form
    383.02/574.47 = 109.14/x
  3. Step 3: Cross multiply
    383.02x = 574.47 × 109.14
  4. Step 4: Simplify right side
    383.02x = 62,697.66
  5. Step 5: Solve for x
    x = 62,697.66/383.02
  6. Step 6: Final answer
    x = 163.69

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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.