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Finding the Fourth Proportional to 448.02, 671.82 and 174.24

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Solution

The fourth proportional to 448.02, 671.82 and 174.24 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.02 : 671.82 = 174.24 : x
  2. Step 2: Convert to fraction form
    448.02/671.82 = 174.24/x
  3. Step 3: Cross multiply
    448.02x = 671.82 × 174.24
  4. Step 4: Simplify right side
    448.02x = 117,057.92
  5. Step 5: Solve for x
    x = 117,057.92/448.02
  6. Step 6: Final answer
    x = 261.28

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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.