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Finding the Fourth Proportional to 299.07, 448.60 and 178.10

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Solution

The fourth proportional to 299.07, 448.60 and 178.10 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 448.60 = 178.10 : x
  2. Step 2: Convert to fraction form
    299.07/448.60 = 178.10/x
  3. Step 3: Cross multiply
    299.07x = 448.60 × 178.10
  4. Step 4: Simplify right side
    299.07x = 79,892.53
  5. Step 5: Solve for x
    x = 79,892.53/299.07
  6. Step 6: Final answer
    x = 267.14

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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.