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Finding the Fourth Proportional to 289.32, 433.57 and 126.66

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Solution

The fourth proportional to 289.32, 433.57 and 126.66 is: 189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 433.57 = 126.66 : x
  2. Step 2: Convert to fraction form
    289.32/433.57 = 126.66/x
  3. Step 3: Cross multiply
    289.32x = 433.57 × 126.66
  4. Step 4: Simplify right side
    289.32x = 54,915.98
  5. Step 5: Solve for x
    x = 54,915.98/289.32
  6. Step 6: Final answer
    x = 189.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.