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Finding the Fourth Proportional to 480.23, 720.26 and 133.47

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Solution

The fourth proportional to 480.23, 720.26 and 133.47 is: 200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.23 : 720.26 = 133.47 : x
  2. Step 2: Convert to fraction form
    480.23/720.26 = 133.47/x
  3. Step 3: Cross multiply
    480.23x = 720.26 × 133.47
  4. Step 4: Simplify right side
    480.23x = 96,133.31
  5. Step 5: Solve for x
    x = 96,133.31/480.23
  6. Step 6: Final answer
    x = 200.18

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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.