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Finding the Fourth Proportional to 513.74, 770.66 and 148.56

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Solution

The fourth proportional to 513.74, 770.66 and 148.56 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 770.66 = 148.56 : x
  2. Step 2: Convert to fraction form
    513.74/770.66 = 148.56/x
  3. Step 3: Cross multiply
    513.74x = 770.66 × 148.56
  4. Step 4: Simplify right side
    513.74x = 114,489.25
  5. Step 5: Solve for x
    x = 114,489.25/513.74
  6. Step 6: Final answer
    x = 222.85

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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.