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Finding the Fourth Proportional to 470.57, 705.44 and 178.02

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Solution

The fourth proportional to 470.57, 705.44 and 178.02 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 705.44 = 178.02 : x
  2. Step 2: Convert to fraction form
    470.57/705.44 = 178.02/x
  3. Step 3: Cross multiply
    470.57x = 705.44 × 178.02
  4. Step 4: Simplify right side
    470.57x = 125,580.22
  5. Step 5: Solve for x
    x = 125,580.22/470.57
  6. Step 6: Final answer
    x = 266.87

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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.