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Finding the Fourth Proportional to 470.51, 705.79 and 123.85

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Solution

The fourth proportional to 470.51, 705.79 and 123.85 is: 185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.51 : 705.79 = 123.85 : x
  2. Step 2: Convert to fraction form
    470.51/705.79 = 123.85/x
  3. Step 3: Cross multiply
    470.51x = 705.79 × 123.85
  4. Step 4: Simplify right side
    470.51x = 87,410.33
  5. Step 5: Solve for x
    x = 87,410.33/470.51
  6. Step 6: Final answer
    x = 185.78

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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.