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Finding the Fourth Proportional to 270.84, 406.25 and 78.46

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Solution

The fourth proportional to 270.84, 406.25 and 78.46 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 406.25 = 78.46 : x
  2. Step 2: Convert to fraction form
    270.84/406.25 = 78.46/x
  3. Step 3: Cross multiply
    270.84x = 406.25 × 78.46
  4. Step 4: Simplify right side
    270.84x = 31,874.38
  5. Step 5: Solve for x
    x = 31,874.38/270.84
  6. Step 6: Final answer
    x = 117.69

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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.