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Finding the Fourth Proportional to 218.71, 328.53 and 212.63

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Solution

The fourth proportional to 218.71, 328.53 and 212.63 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 328.53 = 212.63 : x
  2. Step 2: Convert to fraction form
    218.71/328.53 = 212.63/x
  3. Step 3: Cross multiply
    218.71x = 328.53 × 212.63
  4. Step 4: Simplify right side
    218.71x = 69,855.33
  5. Step 5: Solve for x
    x = 69,855.33/218.71
  6. Step 6: Final answer
    x = 319.40

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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.