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Finding the Fourth Proportional to 514.17, 770.94 and 167.34

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Solution

The fourth proportional to 514.17, 770.94 and 167.34 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.17 : 770.94 = 167.34 : x
  2. Step 2: Convert to fraction form
    514.17/770.94 = 167.34/x
  3. Step 3: Cross multiply
    514.17x = 770.94 × 167.34
  4. Step 4: Simplify right side
    514.17x = 129,009.10
  5. Step 5: Solve for x
    x = 129,009.10/514.17
  6. Step 6: Final answer
    x = 250.91

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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.