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Finding the Fourth Proportional to 510, 765.08 and 168.08

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Solution

The fourth proportional to 510, 765.08 and 168.08 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 765.08 = 168.08 : x
  2. Step 2: Convert to fraction form
    510/765.08 = 168.08/x
  3. Step 3: Cross multiply
    510x = 765.08 × 168.08
  4. Step 4: Simplify right side
    510x = 128,594.65
  5. Step 5: Solve for x
    x = 128,594.65/510
  6. Step 6: Final answer
    x = 252.15

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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.