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Finding the Fourth Proportional to 470.80, 705.99 and 146.09

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Solution

The fourth proportional to 470.80, 705.99 and 146.09 is: 219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.80 : 705.99 = 146.09 : x
  2. Step 2: Convert to fraction form
    470.80/705.99 = 146.09/x
  3. Step 3: Cross multiply
    470.80x = 705.99 × 146.09
  4. Step 4: Simplify right side
    470.80x = 103,135.60
  5. Step 5: Solve for x
    x = 103,135.60/470.80
  6. Step 6: Final answer
    x = 219.07

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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.