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Finding the Fourth Proportional to 325.12, 448.64 and 177.75

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Solution

The fourth proportional to 325.12, 448.64 and 177.75 is: 245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.12 : 448.64 = 177.75 : x
  2. Step 2: Convert to fraction form
    325.12/448.64 = 177.75/x
  3. Step 3: Cross multiply
    325.12x = 448.64 × 177.75
  4. Step 4: Simplify right side
    325.12x = 79,745.76
  5. Step 5: Solve for x
    x = 79,745.76/325.12
  6. Step 6: Final answer
    x = 245.28

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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.