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Finding the Fourth Proportional to 310.73, 465.77 and 148.55

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Solution

The fourth proportional to 310.73, 465.77 and 148.55 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.73 : 465.77 = 148.55 : x
  2. Step 2: Convert to fraction form
    310.73/465.77 = 148.55/x
  3. Step 3: Cross multiply
    310.73x = 465.77 × 148.55
  4. Step 4: Simplify right side
    310.73x = 69,187.06
  5. Step 5: Solve for x
    x = 69,187.06/310.73
  6. Step 6: Final answer
    x = 222.66

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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.