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Finding the Fourth Proportional to 513.84, 770.68 and 148.66

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Solution

The fourth proportional to 513.84, 770.68 and 148.66 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 770.68 = 148.66 : x
  2. Step 2: Convert to fraction form
    513.84/770.68 = 148.66/x
  3. Step 3: Cross multiply
    513.84x = 770.68 × 148.66
  4. Step 4: Simplify right side
    513.84x = 114,569.29
  5. Step 5: Solve for x
    x = 114,569.29/513.84
  6. Step 6: Final answer
    x = 222.97

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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.