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Finding the Fourth Proportional to 510.42, 765.73 and 198.06

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Solution

The fourth proportional to 510.42, 765.73 and 198.06 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 765.73 = 198.06 : x
  2. Step 2: Convert to fraction form
    510.42/765.73 = 198.06/x
  3. Step 3: Cross multiply
    510.42x = 765.73 × 198.06
  4. Step 4: Simplify right side
    510.42x = 151,657.86
  5. Step 5: Solve for x
    x = 151,657.86/510.42
  6. Step 6: Final answer
    x = 297.12

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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.