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Finding the Fourth Proportional to 338.54, 467.19 and 207.50

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Solution

The fourth proportional to 338.54, 467.19 and 207.50 is: 286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.54 : 467.19 = 207.50 : x
  2. Step 2: Convert to fraction form
    338.54/467.19 = 207.50/x
  3. Step 3: Cross multiply
    338.54x = 467.19 × 207.50
  4. Step 4: Simplify right side
    338.54x = 96,941.93
  5. Step 5: Solve for x
    x = 96,941.93/338.54
  6. Step 6: Final answer
    x = 286.35

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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.