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Finding the Fourth Proportional to 245.08, 338.07 and 146.80

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Solution

The fourth proportional to 245.08, 338.07 and 146.80 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.08 : 338.07 = 146.80 : x
  2. Step 2: Convert to fraction form
    245.08/338.07 = 146.80/x
  3. Step 3: Cross multiply
    245.08x = 338.07 × 146.80
  4. Step 4: Simplify right side
    245.08x = 49,628.68
  5. Step 5: Solve for x
    x = 49,628.68/245.08
  6. Step 6: Final answer
    x = 202.50

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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.