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Finding the Fourth Proportional to 510.96, 765.82 and 186.16

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Solution

The fourth proportional to 510.96, 765.82 and 186.16 is: 279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 765.82 = 186.16 : x
  2. Step 2: Convert to fraction form
    510.96/765.82 = 186.16/x
  3. Step 3: Cross multiply
    510.96x = 765.82 × 186.16
  4. Step 4: Simplify right side
    510.96x = 142,565.05
  5. Step 5: Solve for x
    x = 142,565.05/510.96
  6. Step 6: Final answer
    x = 279.01

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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.