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Finding the Fourth Proportional to 192.58, 288.41 and 146.56

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Solution

The fourth proportional to 192.58, 288.41 and 146.56 is: 219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.58 : 288.41 = 146.56 : x
  2. Step 2: Convert to fraction form
    192.58/288.41 = 146.56/x
  3. Step 3: Cross multiply
    192.58x = 288.41 × 146.56
  4. Step 4: Simplify right side
    192.58x = 42,269.28
  5. Step 5: Solve for x
    x = 42,269.28/192.58
  6. Step 6: Final answer
    x = 219.49

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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.