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Finding the Fourth Proportional to 253.69, 351.02 and 221.02

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Solution

The fourth proportional to 253.69, 351.02 and 221.02 is: 305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.69 : 351.02 = 221.02 : x
  2. Step 2: Convert to fraction form
    253.69/351.02 = 221.02/x
  3. Step 3: Cross multiply
    253.69x = 351.02 × 221.02
  4. Step 4: Simplify right side
    253.69x = 77,581.31
  5. Step 5: Solve for x
    x = 77,581.31/253.69
  6. Step 6: Final answer
    x = 305.81

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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.