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Finding the Fourth Proportional to 192.46, 288.54 and 152.05

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Solution

The fourth proportional to 192.46, 288.54 and 152.05 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.46 : 288.54 = 152.05 : x
  2. Step 2: Convert to fraction form
    192.46/288.54 = 152.05/x
  3. Step 3: Cross multiply
    192.46x = 288.54 × 152.05
  4. Step 4: Simplify right side
    192.46x = 43,872.51
  5. Step 5: Solve for x
    x = 43,872.51/192.46
  6. Step 6: Final answer
    x = 227.96

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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.