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Finding the Fourth Proportional to 328.80, 453.76 and 181.44

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Solution

The fourth proportional to 328.80, 453.76 and 181.44 is: 250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 453.76 = 181.44 : x
  2. Step 2: Convert to fraction form
    328.80/453.76 = 181.44/x
  3. Step 3: Cross multiply
    328.80x = 453.76 × 181.44
  4. Step 4: Simplify right side
    328.80x = 82,330.21
  5. Step 5: Solve for x
    x = 82,330.21/328.80
  6. Step 6: Final answer
    x = 250.40

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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.