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Finding the Fourth Proportional to 471.05, 706.24 and 178.53

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Solution

The fourth proportional to 471.05, 706.24 and 178.53 is: 267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 706.24 = 178.53 : x
  2. Step 2: Convert to fraction form
    471.05/706.24 = 178.53/x
  3. Step 3: Cross multiply
    471.05x = 706.24 × 178.53
  4. Step 4: Simplify right side
    471.05x = 126,085.03
  5. Step 5: Solve for x
    x = 126,085.03/471.05
  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.