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Finding the Fourth Proportional to 510.99, 766.62 and 186.63

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Solution

The fourth proportional to 510.99, 766.62 and 186.63 is: 279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.99 : 766.62 = 186.63 : x
  2. Step 2: Convert to fraction form
    510.99/766.62 = 186.63/x
  3. Step 3: Cross multiply
    510.99x = 766.62 × 186.63
  4. Step 4: Simplify right side
    510.99x = 143,074.29
  5. Step 5: Solve for x
    x = 143,074.29/510.99
  6. Step 6: Final answer
    x = 279.99

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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.