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Finding the Fourth Proportional to 373.07, 514.80 and 204.99

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Solution

The fourth proportional to 373.07, 514.80 and 204.99 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.07 : 514.80 = 204.99 : x
  2. Step 2: Convert to fraction form
    373.07/514.80 = 204.99/x
  3. Step 3: Cross multiply
    373.07x = 514.80 × 204.99
  4. Step 4: Simplify right side
    373.07x = 105,529.62
  5. Step 5: Solve for x
    x = 105,529.62/373.07
  6. Step 6: Final answer
    x = 282.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.