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Finding the Fourth Proportional to 289.14, 432.75 and 206.67

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Solution

The fourth proportional to 289.14, 432.75 and 206.67 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 432.75 = 206.67 : x
  2. Step 2: Convert to fraction form
    289.14/432.75 = 206.67/x
  3. Step 3: Cross multiply
    289.14x = 432.75 × 206.67
  4. Step 4: Simplify right side
    289.14x = 89,436.44
  5. Step 5: Solve for x
    x = 89,436.44/289.14
  6. Step 6: Final answer
    x = 309.32

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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.