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Finding the Fourth Proportional to 253.96, 350.26 and 210.22

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Solution

The fourth proportional to 253.96, 350.26 and 210.22 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.96 : 350.26 = 210.22 : x
  2. Step 2: Convert to fraction form
    253.96/350.26 = 210.22/x
  3. Step 3: Cross multiply
    253.96x = 350.26 × 210.22
  4. Step 4: Simplify right side
    253.96x = 73,631.66
  5. Step 5: Solve for x
    x = 73,631.66/253.96
  6. Step 6: Final answer
    x = 289.93

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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.