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Finding the Fourth Proportional to 218.40, 299.83 and 188.88

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Solution

The fourth proportional to 218.40, 299.83 and 188.88 is: 259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 299.83 = 188.88 : x
  2. Step 2: Convert to fraction form
    218.40/299.83 = 188.88/x
  3. Step 3: Cross multiply
    218.40x = 299.83 × 188.88
  4. Step 4: Simplify right side
    218.40x = 56,631.89
  5. Step 5: Solve for x
    x = 56,631.89/218.40
  6. Step 6: Final answer
    x = 259.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.