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Finding the Fourth Proportional to 307.09, 423.55 and 208.68

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Solution

The fourth proportional to 307.09, 423.55 and 208.68 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.09 : 423.55 = 208.68 : x
  2. Step 2: Convert to fraction form
    307.09/423.55 = 208.68/x
  3. Step 3: Cross multiply
    307.09x = 423.55 × 208.68
  4. Step 4: Simplify right side
    307.09x = 88,386.41
  5. Step 5: Solve for x
    x = 88,386.41/307.09
  6. Step 6: Final answer
    x = 287.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.