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Finding the Fourth Proportional to 209.58, 289.13 and 186.09

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Solution

The fourth proportional to 209.58, 289.13 and 186.09 is: 256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 289.13 = 186.09 : x
  2. Step 2: Convert to fraction form
    209.58/289.13 = 186.09/x
  3. Step 3: Cross multiply
    209.58x = 289.13 × 186.09
  4. Step 4: Simplify right side
    209.58x = 53,804.20
  5. Step 5: Solve for x
    x = 53,804.20/209.58
  6. Step 6: Final answer
    x = 256.72

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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.