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Finding the Fourth Proportional to 448.11, 672.14 and 174.14

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Solution

The fourth proportional to 448.11, 672.14 and 174.14 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.11 : 672.14 = 174.14 : x
  2. Step 2: Convert to fraction form
    448.11/672.14 = 174.14/x
  3. Step 3: Cross multiply
    448.11x = 672.14 × 174.14
  4. Step 4: Simplify right side
    448.11x = 117,042.23
  5. Step 5: Solve for x
    x = 117,042.23/448.11
  6. Step 6: Final answer
    x = 261.19

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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.