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Finding the Fourth Proportional to 448.18, 671.80 and 159.42

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Solution

The fourth proportional to 448.18, 671.80 and 159.42 is: 238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.18 : 671.80 = 159.42 : x
  2. Step 2: Convert to fraction form
    448.18/671.80 = 159.42/x
  3. Step 3: Cross multiply
    448.18x = 671.80 × 159.42
  4. Step 4: Simplify right side
    448.18x = 107,098.36
  5. Step 5: Solve for x
    x = 107,098.36/448.18
  6. Step 6: Final answer
    x = 238.96

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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.