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Finding the Fourth Proportional to 255.56, 384.90 and 227.00

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Solution

The fourth proportional to 255.56, 384.90 and 227.00 is: 341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.56 : 384.90 = 227.00 : x
  2. Step 2: Convert to fraction form
    255.56/384.90 = 227.00/x
  3. Step 3: Cross multiply
    255.56x = 384.90 × 227.00
  4. Step 4: Simplify right side
    255.56x = 87,373.69
  5. Step 5: Solve for x
    x = 87,373.69/255.56
  6. Step 6: Final answer
    x = 341.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.