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Finding the Fourth Proportional to 270.19, 405.29 and 125.89

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Solution

The fourth proportional to 270.19, 405.29 and 125.89 is: 188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.19 : 405.29 = 125.89 : x
  2. Step 2: Convert to fraction form
    270.19/405.29 = 125.89/x
  3. Step 3: Cross multiply
    270.19x = 405.29 × 125.89
  4. Step 4: Simplify right side
    270.19x = 51,021.96
  5. Step 5: Solve for x
    x = 51,021.96/270.19
  6. Step 6: Final answer
    x = 188.84

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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.