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Finding the Fourth Proportional to 310.09, 464.46 and 147.28

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Solution

The fourth proportional to 310.09, 464.46 and 147.28 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.09 : 464.46 = 147.28 : x
  2. Step 2: Convert to fraction form
    310.09/464.46 = 147.28/x
  3. Step 3: Cross multiply
    310.09x = 464.46 × 147.28
  4. Step 4: Simplify right side
    310.09x = 68,405.67
  5. Step 5: Solve for x
    x = 68,405.67/310.09
  6. Step 6: Final answer
    x = 220.60

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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.