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Finding the Fourth Proportional to 209.34, 289.02 and 187.47

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Solution

The fourth proportional to 209.34, 289.02 and 187.47 is: 258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 289.02 = 187.47 : x
  2. Step 2: Convert to fraction form
    209.34/289.02 = 187.47/x
  3. Step 3: Cross multiply
    209.34x = 289.02 × 187.47
  4. Step 4: Simplify right side
    209.34x = 54,182.58
  5. Step 5: Solve for x
    x = 54,182.58/209.34
  6. Step 6: Final answer
    x = 258.83

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