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Finding the Fourth Proportional to 218.45, 328.35 and 137.81

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Solution

The fourth proportional to 218.45, 328.35 and 137.81 is: 207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.45 : 328.35 = 137.81 : x
  2. Step 2: Convert to fraction form
    218.45/328.35 = 137.81/x
  3. Step 3: Cross multiply
    218.45x = 328.35 × 137.81
  4. Step 4: Simplify right side
    218.45x = 45,249.91
  5. Step 5: Solve for x
    x = 45,249.91/218.45
  6. Step 6: Final answer
    x = 207.14

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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.