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Finding the Fourth Proportional to 192.40, 288.69 and 89.72

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Solution

The fourth proportional to 192.40, 288.69 and 89.72 is: 134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 288.69 = 89.72 : x
  2. Step 2: Convert to fraction form
    192.40/288.69 = 89.72/x
  3. Step 3: Cross multiply
    192.40x = 288.69 × 89.72
  4. Step 4: Simplify right side
    192.40x = 25,900.82
  5. Step 5: Solve for x
    x = 25,900.82/192.40
  6. Step 6: Final answer
    x = 134.62

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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.