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Finding the Fourth Proportional to 448.25, 672.25 and 159.62

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Solution

The fourth proportional to 448.25, 672.25 and 159.62 is: 239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.25 : 672.25 = 159.62 : x
  2. Step 2: Convert to fraction form
    448.25/672.25 = 159.62/x
  3. Step 3: Cross multiply
    448.25x = 672.25 × 159.62
  4. Step 4: Simplify right side
    448.25x = 107,301.58
  5. Step 5: Solve for x
    x = 107,301.58/448.25
  6. Step 6: Final answer
    x = 239.38

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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.