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Finding the Fourth Proportional to 470.81, 705.86 and 178.28

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Solution

The fourth proportional to 470.81, 705.86 and 178.28 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 705.86 = 178.28 : x
  2. Step 2: Convert to fraction form
    470.81/705.86 = 178.28/x
  3. Step 3: Cross multiply
    470.81x = 705.86 × 178.28
  4. Step 4: Simplify right side
    470.81x = 125,840.72
  5. Step 5: Solve for x
    x = 125,840.72/470.81
  6. Step 6: Final answer
    x = 267.29

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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.