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Finding the Fourth Proportional to 510.16, 765.32 and 185.46

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Solution

The fourth proportional to 510.16, 765.32 and 185.46 is: 278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.16 : 765.32 = 185.46 : x
  2. Step 2: Convert to fraction form
    510.16/765.32 = 185.46/x
  3. Step 3: Cross multiply
    510.16x = 765.32 × 185.46
  4. Step 4: Simplify right side
    510.16x = 141,936.25
  5. Step 5: Solve for x
    x = 141,936.25/510.16
  6. Step 6: Final answer
    x = 278.22

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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.