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Finding the Fourth Proportional to 255.70, 352 and 226.10

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Solution

The fourth proportional to 255.70, 352 and 226.10 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 352 = 226.10 : x
  2. Step 2: Convert to fraction form
    255.70/352 = 226.10/x
  3. Step 3: Cross multiply
    255.70x = 352 × 226.10
  4. Step 4: Simplify right side
    255.70x = 79,587.20
  5. Step 5: Solve for x
    x = 79,587.20/255.70
  6. Step 6: Final answer
    x = 311.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.