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Finding the Fourth Proportional to 214.05, 320.62 and 155.99

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Solution

The fourth proportional to 214.05, 320.62 and 155.99 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 320.62 = 155.99 : x
  2. Step 2: Convert to fraction form
    214.05/320.62 = 155.99/x
  3. Step 3: Cross multiply
    214.05x = 320.62 × 155.99
  4. Step 4: Simplify right side
    214.05x = 50,012.73
  5. Step 5: Solve for x
    x = 50,012.73/214.05
  6. Step 6: Final answer
    x = 233.65

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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.