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Finding the Fourth Proportional to 383.46, 575.19 and 94.90

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Solution

The fourth proportional to 383.46, 575.19 and 94.90 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.46 : 575.19 = 94.90 : x
  2. Step 2: Convert to fraction form
    383.46/575.19 = 94.90/x
  3. Step 3: Cross multiply
    383.46x = 575.19 × 94.90
  4. Step 4: Simplify right side
    383.46x = 54,583.82
  5. Step 5: Solve for x
    x = 54,583.82/383.46
  6. Step 6: Final answer
    x = 142.35

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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.