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Finding the Fourth Proportional to 470.24, 705.23 and 177.73

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Solution

The fourth proportional to 470.24, 705.23 and 177.73 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 705.23 = 177.73 : x
  2. Step 2: Convert to fraction form
    470.24/705.23 = 177.73/x
  3. Step 3: Cross multiply
    470.24x = 705.23 × 177.73
  4. Step 4: Simplify right side
    470.24x = 125,340.53
  5. Step 5: Solve for x
    x = 125,340.53/470.24
  6. Step 6: Final answer
    x = 266.55

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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.