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Finding the Fourth Proportional to 320.22, 480.86 and 176.04

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Solution

The fourth proportional to 320.22, 480.86 and 176.04 is: 264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 480.86 = 176.04 : x
  2. Step 2: Convert to fraction form
    320.22/480.86 = 176.04/x
  3. Step 3: Cross multiply
    320.22x = 480.86 × 176.04
  4. Step 4: Simplify right side
    320.22x = 84,650.59
  5. Step 5: Solve for x
    x = 84,650.59/320.22
  6. Step 6: Final answer
    x = 264.35

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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.