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Finding the Fourth Proportional to 364.84, 503.46 and 199.06

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Solution

The fourth proportional to 364.84, 503.46 and 199.06 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.84 : 503.46 = 199.06 : x
  2. Step 2: Convert to fraction form
    364.84/503.46 = 199.06/x
  3. Step 3: Cross multiply
    364.84x = 503.46 × 199.06
  4. Step 4: Simplify right side
    364.84x = 100,218.75
  5. Step 5: Solve for x
    x = 100,218.75/364.84
  6. Step 6: Final answer
    x = 274.69

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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.