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Finding the Fourth Proportional to 448.74, 672.91 and 140.54

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Solution

The fourth proportional to 448.74, 672.91 and 140.54 is: 210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.74 : 672.91 = 140.54 : x
  2. Step 2: Convert to fraction form
    448.74/672.91 = 140.54/x
  3. Step 3: Cross multiply
    448.74x = 672.91 × 140.54
  4. Step 4: Simplify right side
    448.74x = 94,567.06
  5. Step 5: Solve for x
    x = 94,567.06/448.74
  6. Step 6: Final answer
    x = 210.74

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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.