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Finding the Fourth Proportional to 253.11, 379.36 and 143.16

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Solution

The fourth proportional to 253.11, 379.36 and 143.16 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.11 : 379.36 = 143.16 : x
  2. Step 2: Convert to fraction form
    253.11/379.36 = 143.16/x
  3. Step 3: Cross multiply
    253.11x = 379.36 × 143.16
  4. Step 4: Simplify right side
    253.11x = 54,309.18
  5. Step 5: Solve for x
    x = 54,309.18/253.11
  6. Step 6: Final answer
    x = 214.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.