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Finding the Fourth Proportional to 310.41, 465.63 and 137.03

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Solution

The fourth proportional to 310.41, 465.63 and 137.03 is: 205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.41 : 465.63 = 137.03 : x
  2. Step 2: Convert to fraction form
    310.41/465.63 = 137.03/x
  3. Step 3: Cross multiply
    310.41x = 465.63 × 137.03
  4. Step 4: Simplify right side
    310.41x = 63,802.95
  5. Step 5: Solve for x
    x = 63,802.95/310.41
  6. Step 6: Final answer
    x = 205.54

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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.