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Finding the Fourth Proportional to 299.67, 448.90 and 177.64

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Solution

The fourth proportional to 299.67, 448.90 and 177.64 is: 266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.67 : 448.90 = 177.64 : x
  2. Step 2: Convert to fraction form
    299.67/448.90 = 177.64/x
  3. Step 3: Cross multiply
    299.67x = 448.90 × 177.64
  4. Step 4: Simplify right side
    299.67x = 79,742.60
  5. Step 5: Solve for x
    x = 79,742.60/299.67
  6. Step 6: Final answer
    x = 266.10

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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.