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Finding the Fourth Proportional to 325.15, 486.96 and 248.02

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Solution

The fourth proportional to 325.15, 486.96 and 248.02 is: 371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.15 : 486.96 = 248.02 : x
  2. Step 2: Convert to fraction form
    325.15/486.96 = 248.02/x
  3. Step 3: Cross multiply
    325.15x = 486.96 × 248.02
  4. Step 4: Simplify right side
    325.15x = 120,775.82
  5. Step 5: Solve for x
    x = 120,775.82/325.15
  6. Step 6: Final answer
    x = 371.45

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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.