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Finding the Fourth Proportional to 320.96, 480.72 and 176.42

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Solution

The fourth proportional to 320.96, 480.72 and 176.42 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 480.72 = 176.42 : x
  2. Step 2: Convert to fraction form
    320.96/480.72 = 176.42/x
  3. Step 3: Cross multiply
    320.96x = 480.72 × 176.42
  4. Step 4: Simplify right side
    320.96x = 84,808.62
  5. Step 5: Solve for x
    x = 84,808.62/320.96
  6. Step 6: Final answer
    x = 264.23

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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.