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Finding the Fourth Proportional to 514.20, 771.12 and 148.89

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Solution

The fourth proportional to 514.20, 771.12 and 148.89 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 771.12 = 148.89 : x
  2. Step 2: Convert to fraction form
    514.20/771.12 = 148.89/x
  3. Step 3: Cross multiply
    514.20x = 771.12 × 148.89
  4. Step 4: Simplify right side
    514.20x = 114,810.61
  5. Step 5: Solve for x
    x = 114,810.61/514.20
  6. Step 6: Final answer
    x = 223.28

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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.