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Finding the Fourth Proportional to 364.93, 503.59 and 199.14

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Solution

The fourth proportional to 364.93, 503.59 and 199.14 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 503.59 = 199.14 : x
  2. Step 2: Convert to fraction form
    364.93/503.59 = 199.14/x
  3. Step 3: Cross multiply
    364.93x = 503.59 × 199.14
  4. Step 4: Simplify right side
    364.93x = 100,284.91
  5. Step 5: Solve for x
    x = 100,284.91/364.93
  6. Step 6: Final answer
    x = 274.81

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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.