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Finding the Fourth Proportional to 320.11, 480.38 and 114.68

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Solution

The fourth proportional to 320.11, 480.38 and 114.68 is: 172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.11 : 480.38 = 114.68 : x
  2. Step 2: Convert to fraction form
    320.11/480.38 = 114.68/x
  3. Step 3: Cross multiply
    320.11x = 480.38 × 114.68
  4. Step 4: Simplify right side
    320.11x = 55,089.41
  5. Step 5: Solve for x
    x = 55,089.41/320.11
  6. Step 6: Final answer
    x = 172.10

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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.