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Finding the Fourth Proportional to 253.53, 348.96 and 211.61

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Solution

The fourth proportional to 253.53, 348.96 and 211.61 is: 291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 348.96 = 211.61 : x
  2. Step 2: Convert to fraction form
    253.53/348.96 = 211.61/x
  3. Step 3: Cross multiply
    253.53x = 348.96 × 211.61
  4. Step 4: Simplify right side
    253.53x = 73,840.62
  5. Step 5: Solve for x
    x = 73,840.62/253.53
  6. Step 6: Final answer
    x = 291.26

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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.