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Finding the Fourth Proportional to 310.56, 466.06 and 148.44

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Solution

The fourth proportional to 310.56, 466.06 and 148.44 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 466.06 = 148.44 : x
  2. Step 2: Convert to fraction form
    310.56/466.06 = 148.44/x
  3. Step 3: Cross multiply
    310.56x = 466.06 × 148.44
  4. Step 4: Simplify right side
    310.56x = 69,181.95
  5. Step 5: Solve for x
    x = 69,181.95/310.56
  6. Step 6: Final answer
    x = 222.77

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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.