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Finding the Fourth Proportional to 192.53, 288.49 and 146.74

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Solution

The fourth proportional to 192.53, 288.49 and 146.74 is: 219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.53 : 288.49 = 146.74 : x
  2. Step 2: Convert to fraction form
    192.53/288.49 = 146.74/x
  3. Step 3: Cross multiply
    192.53x = 288.49 × 146.74
  4. Step 4: Simplify right side
    192.53x = 42,330.85
  5. Step 5: Solve for x
    x = 42,330.85/192.53
  6. Step 6: Final answer
    x = 219.87

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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.