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Finding the Fourth Proportional to 270.06, 405.68 and 178.93

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Solution

The fourth proportional to 270.06, 405.68 and 178.93 is: 268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 405.68 = 178.93 : x
  2. Step 2: Convert to fraction form
    270.06/405.68 = 178.93/x
  3. Step 3: Cross multiply
    270.06x = 405.68 × 178.93
  4. Step 4: Simplify right side
    270.06x = 72,588.32
  5. Step 5: Solve for x
    x = 72,588.32/270.06
  6. Step 6: Final answer
    x = 268.79

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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.