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Finding the Fourth Proportional to 214.36, 320.86 and 170.86

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Solution

The fourth proportional to 214.36, 320.86 and 170.86 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.36 : 320.86 = 170.86 : x
  2. Step 2: Convert to fraction form
    214.36/320.86 = 170.86/x
  3. Step 3: Cross multiply
    214.36x = 320.86 × 170.86
  4. Step 4: Simplify right side
    214.36x = 54,822.14
  5. Step 5: Solve for x
    x = 54,822.14/214.36
  6. Step 6: Final answer
    x = 255.75

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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.