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Finding the Fourth Proportional to 325.04, 448.56 and 194.07

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Solution

The fourth proportional to 325.04, 448.56 and 194.07 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.04 : 448.56 = 194.07 : x
  2. Step 2: Convert to fraction form
    325.04/448.56 = 194.07/x
  3. Step 3: Cross multiply
    325.04x = 448.56 × 194.07
  4. Step 4: Simplify right side
    325.04x = 87,052.04
  5. Step 5: Solve for x
    x = 87,052.04/325.04
  6. Step 6: Final answer
    x = 267.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.