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Finding the Fourth Proportional to 513.59, 770.38 and 148.38

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Solution

The fourth proportional to 513.59, 770.38 and 148.38 is: 222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.59 : 770.38 = 148.38 : x
  2. Step 2: Convert to fraction form
    513.59/770.38 = 148.38/x
  3. Step 3: Cross multiply
    513.59x = 770.38 × 148.38
  4. Step 4: Simplify right side
    513.59x = 114,305.13
  5. Step 5: Solve for x
    x = 114,305.13/513.59
  6. Step 6: Final answer
    x = 222.56

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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.