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Finding the Fourth Proportional to 245.02, 338.09 and 146.75

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Solution

The fourth proportional to 245.02, 338.09 and 146.75 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.02 : 338.09 = 146.75 : x
  2. Step 2: Convert to fraction form
    245.02/338.09 = 146.75/x
  3. Step 3: Cross multiply
    245.02x = 338.09 × 146.75
  4. Step 4: Simplify right side
    245.02x = 49,614.71
  5. Step 5: Solve for x
    x = 49,614.71/245.02
  6. Step 6: Final answer
    x = 202.49

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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.