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Finding the Fourth Proportional to 215.47, 323.07 and 143.11

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Solution

The fourth proportional to 215.47, 323.07 and 143.11 is: 214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 323.07 = 143.11 : x
  2. Step 2: Convert to fraction form
    215.47/323.07 = 143.11/x
  3. Step 3: Cross multiply
    215.47x = 323.07 × 143.11
  4. Step 4: Simplify right side
    215.47x = 46,234.55
  5. Step 5: Solve for x
    x = 46,234.55/215.47
  6. Step 6: Final answer
    x = 214.58

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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.