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Finding the Fourth Proportional to 245.14, 338.25 and 146.86

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Solution

The fourth proportional to 245.14, 338.25 and 146.86 is: 202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.14 : 338.25 = 146.86 : x
  2. Step 2: Convert to fraction form
    245.14/338.25 = 146.86/x
  3. Step 3: Cross multiply
    245.14x = 338.25 × 146.86
  4. Step 4: Simplify right side
    245.14x = 49,675.40
  5. Step 5: Solve for x
    x = 49,675.40/245.14
  6. Step 6: Final answer
    x = 202.64

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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.