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Finding the Fourth Proportional to 510.96, 766.32 and 186.40

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Solution

The fourth proportional to 510.96, 766.32 and 186.40 is: 279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 766.32 = 186.40 : x
  2. Step 2: Convert to fraction form
    510.96/766.32 = 186.40/x
  3. Step 3: Cross multiply
    510.96x = 766.32 × 186.40
  4. Step 4: Simplify right side
    510.96x = 142,842.05
  5. Step 5: Solve for x
    x = 142,842.05/510.96
  6. Step 6: Final answer
    x = 279.56

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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.