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Finding the Fourth Proportional to 270.50, 405.76 and 78.12

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Solution

The fourth proportional to 270.50, 405.76 and 78.12 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.50 : 405.76 = 78.12 : x
  2. Step 2: Convert to fraction form
    270.50/405.76 = 78.12/x
  3. Step 3: Cross multiply
    270.50x = 405.76 × 78.12
  4. Step 4: Simplify right side
    270.50x = 31,697.97
  5. Step 5: Solve for x
    x = 31,697.97/270.50
  6. Step 6: Final answer
    x = 117.18

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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.