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Finding the Fourth Proportional to 299.59, 448.87 and 208.35

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Solution

The fourth proportional to 299.59, 448.87 and 208.35 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 448.87 = 208.35 : x
  2. Step 2: Convert to fraction form
    299.59/448.87 = 208.35/x
  3. Step 3: Cross multiply
    299.59x = 448.87 × 208.35
  4. Step 4: Simplify right side
    299.59x = 93,522.06
  5. Step 5: Solve for x
    x = 93,522.06/299.59
  6. Step 6: Final answer
    x = 312.17

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Why These Related Problems?

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