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Finding the Fourth Proportional to 192.06, 288.08 and 76.50

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Solution

The fourth proportional to 192.06, 288.08 and 76.50 is: 114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.06 : 288.08 = 76.50 : x
  2. Step 2: Convert to fraction form
    192.06/288.08 = 76.50/x
  3. Step 3: Cross multiply
    192.06x = 288.08 × 76.50
  4. Step 4: Simplify right side
    192.06x = 22,037.74
  5. Step 5: Solve for x
    x = 22,037.74/192.06
  6. Step 6: Final answer
    x = 114.74

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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.