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Finding the Fourth Proportional to 448.45, 672.69 and 123.83

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Solution

The fourth proportional to 448.45, 672.69 and 123.83 is: 185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 672.69 = 123.83 : x
  2. Step 2: Convert to fraction form
    448.45/672.69 = 123.83/x
  3. Step 3: Cross multiply
    448.45x = 672.69 × 123.83
  4. Step 4: Simplify right side
    448.45x = 83,298.13
  5. Step 5: Solve for x
    x = 83,298.13/448.45
  6. Step 6: Final answer
    x = 185.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.