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Finding the Fourth Proportional to 470.57, 706.21 and 178.36

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Solution

The fourth proportional to 470.57, 706.21 and 178.36 is: 267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 706.21 = 178.36 : x
  2. Step 2: Convert to fraction form
    470.57/706.21 = 178.36/x
  3. Step 3: Cross multiply
    470.57x = 706.21 × 178.36
  4. Step 4: Simplify right side
    470.57x = 125,957.40
  5. Step 5: Solve for x
    x = 125,957.40/470.57
  6. Step 6: Final answer
    x = 267.67

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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.