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Finding the Fourth Proportional to 514.07, 771.14 and 148.83

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Solution

The fourth proportional to 514.07, 771.14 and 148.83 is: 223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.07 : 771.14 = 148.83 : x
  2. Step 2: Convert to fraction form
    514.07/771.14 = 148.83/x
  3. Step 3: Cross multiply
    514.07x = 771.14 × 148.83
  4. Step 4: Simplify right side
    514.07x = 114,768.02
  5. Step 5: Solve for x
    x = 114,768.02/514.07
  6. Step 6: Final answer
    x = 223.26

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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.