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Finding the Fourth Proportional to 270.44, 405.68 and 78.06

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Solution

The fourth proportional to 270.44, 405.68 and 78.06 is: 117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.44 : 405.68 = 78.06 : x
  2. Step 2: Convert to fraction form
    270.44/405.68 = 78.06/x
  3. Step 3: Cross multiply
    270.44x = 405.68 × 78.06
  4. Step 4: Simplify right side
    270.44x = 31,667.38
  5. Step 5: Solve for x
    x = 31,667.38/270.44
  6. Step 6: Final answer
    x = 117.10

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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.