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Finding the Fourth Proportional to 514.97, 772.53 and 185.93

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Solution

The fourth proportional to 514.97, 772.53 and 185.93 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.97 : 772.53 = 185.93 : x
  2. Step 2: Convert to fraction form
    514.97/772.53 = 185.93/x
  3. Step 3: Cross multiply
    514.97x = 772.53 × 185.93
  4. Step 4: Simplify right side
    514.97x = 143,632.64
  5. Step 5: Solve for x
    x = 143,632.64/514.97
  6. Step 6: Final answer
    x = 278.91

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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.