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Finding the Fourth Proportional to 270.23, 405.48 and 125.93

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Solution

The fourth proportional to 270.23, 405.48 and 125.93 is: 188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.23 : 405.48 = 125.93 : x
  2. Step 2: Convert to fraction form
    270.23/405.48 = 125.93/x
  3. Step 3: Cross multiply
    270.23x = 405.48 × 125.93
  4. Step 4: Simplify right side
    270.23x = 51,062.10
  5. Step 5: Solve for x
    x = 51,062.10/270.23
  6. Step 6: Final answer
    x = 188.96

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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.