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Finding the Fourth Proportional to 214.76, 321.74 and 188.80

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Solution

The fourth proportional to 214.76, 321.74 and 188.80 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.76 : 321.74 = 188.80 : x
  2. Step 2: Convert to fraction form
    214.76/321.74 = 188.80/x
  3. Step 3: Cross multiply
    214.76x = 321.74 × 188.80
  4. Step 4: Simplify right side
    214.76x = 60,744.51
  5. Step 5: Solve for x
    x = 60,744.51/214.76
  6. Step 6: Final answer
    x = 282.85

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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.