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Finding the Fourth Proportional to 514.47, 771.80 and 163.10

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Solution

The fourth proportional to 514.47, 771.80 and 163.10 is: 244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 771.80 = 163.10 : x
  2. Step 2: Convert to fraction form
    514.47/771.80 = 163.10/x
  3. Step 3: Cross multiply
    514.47x = 771.80 × 163.10
  4. Step 4: Simplify right side
    514.47x = 125,875.91
  5. Step 5: Solve for x
    x = 125,875.91/514.47
  6. Step 6: Final answer
    x = 244.67

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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.