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Finding the Fourth Proportional to 259.07, 359.02 and 254.21

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Solution

The fourth proportional to 259.07, 359.02 and 254.21 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.07 : 359.02 = 254.21 : x
  2. Step 2: Convert to fraction form
    259.07/359.02 = 254.21/x
  3. Step 3: Cross multiply
    259.07x = 359.02 × 254.21
  4. Step 4: Simplify right side
    259.07x = 91,266.47
  5. Step 5: Solve for x
    x = 91,266.47/259.07
  6. Step 6: Final answer
    x = 352.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.