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Finding the Fourth Proportional to 218.82, 328.14 and 137.64

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Solution

The fourth proportional to 218.82, 328.14 and 137.64 is: 206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.82 : 328.14 = 137.64 : x
  2. Step 2: Convert to fraction form
    218.82/328.14 = 137.64/x
  3. Step 3: Cross multiply
    218.82x = 328.14 × 137.64
  4. Step 4: Simplify right side
    218.82x = 45,165.19
  5. Step 5: Solve for x
    x = 45,165.19/218.82
  6. Step 6: Final answer
    x = 206.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.