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Finding the Fourth Proportional to 245.36, 338.55 and 147.08

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Solution

The fourth proportional to 245.36, 338.55 and 147.08 is: 202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 338.55 = 147.08 : x
  2. Step 2: Convert to fraction form
    245.36/338.55 = 147.08/x
  3. Step 3: Cross multiply
    245.36x = 338.55 × 147.08
  4. Step 4: Simplify right side
    245.36x = 49,793.93
  5. Step 5: Solve for x
    x = 49,793.93/245.36
  6. Step 6: Final answer
    x = 202.94

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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.