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Finding the Fourth Proportional to 325.35, 448.98 and 177.98

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Solution

The fourth proportional to 325.35, 448.98 and 177.98 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.35 : 448.98 = 177.98 : x
  2. Step 2: Convert to fraction form
    325.35/448.98 = 177.98/x
  3. Step 3: Cross multiply
    325.35x = 448.98 × 177.98
  4. Step 4: Simplify right side
    325.35x = 79,908.88
  5. Step 5: Solve for x
    x = 79,908.88/325.35
  6. Step 6: Final answer
    x = 245.61

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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.