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Finding the Fourth Proportional to 245.60, 338.13 and 208.74

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Solution

The fourth proportional to 245.60, 338.13 and 208.74 is: 287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.60 : 338.13 = 208.74 : x
  2. Step 2: Convert to fraction form
    245.60/338.13 = 208.74/x
  3. Step 3: Cross multiply
    245.60x = 338.13 × 208.74
  4. Step 4: Simplify right side
    245.60x = 70,581.26
  5. Step 5: Solve for x
    x = 70,581.26/245.60
  6. Step 6: Final answer
    x = 287.39

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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.