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Finding the Fourth Proportional to 514.71, 771.93 and 149.40

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Solution

The fourth proportional to 514.71, 771.93 and 149.40 is: 224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.71 : 771.93 = 149.40 : x
  2. Step 2: Convert to fraction form
    514.71/771.93 = 149.40/x
  3. Step 3: Cross multiply
    514.71x = 771.93 × 149.40
  4. Step 4: Simplify right side
    514.71x = 115,326.34
  5. Step 5: Solve for x
    x = 115,326.34/514.71
  6. Step 6: Final answer
    x = 224.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.