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Finding the Fourth Proportional to 255.57, 384.21 and 202.11

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Solution

The fourth proportional to 255.57, 384.21 and 202.11 is: 303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.57 : 384.21 = 202.11 : x
  2. Step 2: Convert to fraction form
    255.57/384.21 = 202.11/x
  3. Step 3: Cross multiply
    255.57x = 384.21 × 202.11
  4. Step 4: Simplify right side
    255.57x = 77,652.68
  5. Step 5: Solve for x
    x = 77,652.68/255.57
  6. Step 6: Final answer
    x = 303.84

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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.