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Finding the Fourth Proportional to 310.55, 465.85 and 115.54

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Solution

The fourth proportional to 310.55, 465.85 and 115.54 is: 173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.55 : 465.85 = 115.54 : x
  2. Step 2: Convert to fraction form
    310.55/465.85 = 115.54/x
  3. Step 3: Cross multiply
    310.55x = 465.85 × 115.54
  4. Step 4: Simplify right side
    310.55x = 53,822.64
  5. Step 5: Solve for x
    x = 53,822.64/310.55
  6. Step 6: Final answer
    x = 173.32

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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.