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Finding the Fourth Proportional to 470.19, 705.34 and 177.68

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Solution

The fourth proportional to 470.19, 705.34 and 177.68 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.19 : 705.34 = 177.68 : x
  2. Step 2: Convert to fraction form
    470.19/705.34 = 177.68/x
  3. Step 3: Cross multiply
    470.19x = 705.34 × 177.68
  4. Step 4: Simplify right side
    470.19x = 125,324.81
  5. Step 5: Solve for x
    x = 125,324.81/470.19
  6. Step 6: Final answer
    x = 266.54

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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.