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Finding the Fourth Proportional to 289.02, 433.12 and 192.63

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Solution

The fourth proportional to 289.02, 433.12 and 192.63 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 433.12 = 192.63 : x
  2. Step 2: Convert to fraction form
    289.02/433.12 = 192.63/x
  3. Step 3: Cross multiply
    289.02x = 433.12 × 192.63
  4. Step 4: Simplify right side
    289.02x = 83,429.26
  5. Step 5: Solve for x
    x = 83,429.26/289.02
  6. Step 6: Final answer
    x = 288.67

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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.