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Finding the Fourth Proportional to 470.18, 705.37 and 177.68

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Solution

The fourth proportional to 470.18, 705.37 and 177.68 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.18 : 705.37 = 177.68 : x
  2. Step 2: Convert to fraction form
    470.18/705.37 = 177.68/x
  3. Step 3: Cross multiply
    470.18x = 705.37 × 177.68
  4. Step 4: Simplify right side
    470.18x = 125,330.14
  5. Step 5: Solve for x
    x = 125,330.14/470.18
  6. Step 6: Final answer
    x = 266.56

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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.