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Finding the Fourth Proportional to 289.24, 433.42 and 126.74

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Solution

The fourth proportional to 289.24, 433.42 and 126.74 is: 189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.24 : 433.42 = 126.74 : x
  2. Step 2: Convert to fraction form
    289.24/433.42 = 126.74/x
  3. Step 3: Cross multiply
    289.24x = 433.42 × 126.74
  4. Step 4: Simplify right side
    289.24x = 54,931.65
  5. Step 5: Solve for x
    x = 54,931.65/289.24
  6. Step 6: Final answer
    x = 189.92

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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.