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Finding the Fourth Proportional to 215.66, 323.65 and 124.39

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Solution

The fourth proportional to 215.66, 323.65 and 124.39 is: 186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.66 : 323.65 = 124.39 : x
  2. Step 2: Convert to fraction form
    215.66/323.65 = 124.39/x
  3. Step 3: Cross multiply
    215.66x = 323.65 × 124.39
  4. Step 4: Simplify right side
    215.66x = 40,256.86
  5. Step 5: Solve for x
    x = 40,256.86/215.66
  6. Step 6: Final answer
    x = 186.67

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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.