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Finding the Fourth Proportional to 514.14, 770.96 and 148.83

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Solution

The fourth proportional to 514.14, 770.96 and 148.83 is: 223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 770.96 = 148.83 : x
  2. Step 2: Convert to fraction form
    514.14/770.96 = 148.83/x
  3. Step 3: Cross multiply
    514.14x = 770.96 × 148.83
  4. Step 4: Simplify right side
    514.14x = 114,742.35
  5. Step 5: Solve for x
    x = 114,742.35/514.14
  6. Step 6: Final answer
    x = 223.17

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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.