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Finding the Fourth Proportional to 270.95, 407.24 and 238.55

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Solution

The fourth proportional to 270.95, 407.24 and 238.55 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 407.24 = 238.55 : x
  2. Step 2: Convert to fraction form
    270.95/407.24 = 238.55/x
  3. Step 3: Cross multiply
    270.95x = 407.24 × 238.55
  4. Step 4: Simplify right side
    270.95x = 97,147.82
  5. Step 5: Solve for x
    x = 97,147.82/270.95
  6. Step 6: Final answer
    x = 358.54

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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.