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Finding the Fourth Proportional to 320.04, 480.15 and 137.34

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Solution

The fourth proportional to 320.04, 480.15 and 137.34 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.04 : 480.15 = 137.34 : x
  2. Step 2: Convert to fraction form
    320.04/480.15 = 137.34/x
  3. Step 3: Cross multiply
    320.04x = 480.15 × 137.34
  4. Step 4: Simplify right side
    320.04x = 65,943.80
  5. Step 5: Solve for x
    x = 65,943.80/320.04
  6. Step 6: Final answer
    x = 206.05

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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.