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Finding the Fourth Proportional to 518.10, 776.46 and 193.14

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Solution

The fourth proportional to 518.10, 776.46 and 193.14 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.10 : 776.46 = 193.14 : x
  2. Step 2: Convert to fraction form
    518.10/776.46 = 193.14/x
  3. Step 3: Cross multiply
    518.10x = 776.46 × 193.14
  4. Step 4: Simplify right side
    518.10x = 149,965.48
  5. Step 5: Solve for x
    x = 149,965.48/518.10
  6. Step 6: Final answer
    x = 289.45

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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.