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Finding the Fourth Proportional to 244.91, 338.00 and 146.72

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Solution

The fourth proportional to 244.91, 338.00 and 146.72 is: 202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.91 : 338.00 = 146.72 : x
  2. Step 2: Convert to fraction form
    244.91/338.00 = 146.72/x
  3. Step 3: Cross multiply
    244.91x = 338.00 × 146.72
  4. Step 4: Simplify right side
    244.91x = 49,588.94
  5. Step 5: Solve for x
    x = 49,588.94/244.91
  6. Step 6: Final answer
    x = 202.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.