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Finding the Fourth Proportional to 299.40, 448.52 and 177.76

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Solution

The fourth proportional to 299.40, 448.52 and 177.76 is: 266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 448.52 = 177.76 : x
  2. Step 2: Convert to fraction form
    299.40/448.52 = 177.76/x
  3. Step 3: Cross multiply
    299.40x = 448.52 × 177.76
  4. Step 4: Simplify right side
    299.40x = 79,728.92
  5. Step 5: Solve for x
    x = 79,728.92/299.40
  6. Step 6: Final answer
    x = 266.30

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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.