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Finding the Fourth Proportional to 320.38, 480.67 and 176.06

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Solution

The fourth proportional to 320.38, 480.67 and 176.06 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 480.67 = 176.06 : x
  2. Step 2: Convert to fraction form
    320.38/480.67 = 176.06/x
  3. Step 3: Cross multiply
    320.38x = 480.67 × 176.06
  4. Step 4: Simplify right side
    320.38x = 84,627.52
  5. Step 5: Solve for x
    x = 84,627.52/320.38
  6. Step 6: Final answer
    x = 264.15

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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.