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Finding the Fourth Proportional to 299.60, 448.87 and 208.35

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Solution

The fourth proportional to 299.60, 448.87 and 208.35 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 448.87 = 208.35 : x
  2. Step 2: Convert to fraction form
    299.60/448.87 = 208.35/x
  3. Step 3: Cross multiply
    299.60x = 448.87 × 208.35
  4. Step 4: Simplify right side
    299.60x = 93,521.02
  5. Step 5: Solve for x
    x = 93,521.02/299.60
  6. Step 6: Final answer
    x = 312.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.