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Finding the Fourth Proportional to 383.35, 575.25 and 152.20

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Solution

The fourth proportional to 383.35, 575.25 and 152.20 is: 228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.35 : 575.25 = 152.20 : x
  2. Step 2: Convert to fraction form
    383.35/575.25 = 152.20/x
  3. Step 3: Cross multiply
    383.35x = 575.25 × 152.20
  4. Step 4: Simplify right side
    383.35x = 87,553.05
  5. Step 5: Solve for x
    x = 87,553.05/383.35
  6. Step 6: Final answer
    x = 228.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.