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Finding the Fourth Proportional to 235.10, 324.21 and 208.88

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Solution

The fourth proportional to 235.10, 324.21 and 208.88 is: 288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 324.21 = 208.88 : x
  2. Step 2: Convert to fraction form
    235.10/324.21 = 208.88/x
  3. Step 3: Cross multiply
    235.10x = 324.21 × 208.88
  4. Step 4: Simplify right side
    235.10x = 67,720.98
  5. Step 5: Solve for x
    x = 67,720.98/235.10
  6. Step 6: Final answer
    x = 288.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.