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Finding the Fourth Proportional to 214.06, 295.49 and 184.67

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Solution

The fourth proportional to 214.06, 295.49 and 184.67 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 295.49 = 184.67 : x
  2. Step 2: Convert to fraction form
    214.06/295.49 = 184.67/x
  3. Step 3: Cross multiply
    214.06x = 295.49 × 184.67
  4. Step 4: Simplify right side
    214.06x = 54,568.14
  5. Step 5: Solve for x
    x = 54,568.14/214.06
  6. Step 6: Final answer
    x = 254.92

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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.