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Finding the Fourth Proportional to 448.09, 672.01 and 123.38

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Solution

The fourth proportional to 448.09, 672.01 and 123.38 is: 185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.09 : 672.01 = 123.38 : x
  2. Step 2: Convert to fraction form
    448.09/672.01 = 123.38/x
  3. Step 3: Cross multiply
    448.09x = 672.01 × 123.38
  4. Step 4: Simplify right side
    448.09x = 82,909.92
  5. Step 5: Solve for x
    x = 82,909.92/448.09
  6. Step 6: Final answer
    x = 185.03

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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.