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Finding the Fourth Proportional to 448.46, 672.74 and 140.39

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Solution

The fourth proportional to 448.46, 672.74 and 140.39 is: 210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.46 : 672.74 = 140.39 : x
  2. Step 2: Convert to fraction form
    448.46/672.74 = 140.39/x
  3. Step 3: Cross multiply
    448.46x = 672.74 × 140.39
  4. Step 4: Simplify right side
    448.46x = 94,441.90
  5. Step 5: Solve for x
    x = 94,441.90/448.46
  6. Step 6: Final answer
    x = 210.59

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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.