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Finding the Fourth Proportional to 270.42, 405.39 and 106

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Solution

The fourth proportional to 270.42, 405.39 and 106 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.42 : 405.39 = 106 : x
  2. Step 2: Convert to fraction form
    270.42/405.39 = 106/x
  3. Step 3: Cross multiply
    270.42x = 405.39 × 106
  4. Step 4: Simplify right side
    270.42x = 42,971.34
  5. Step 5: Solve for x
    x = 42,971.34/270.42
  6. Step 6: Final answer
    x = 158.91

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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.