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Finding the Fourth Proportional to 373.84, 561.77 and 200.63

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Solution

The fourth proportional to 373.84, 561.77 and 200.63 is: 301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.84 : 561.77 = 200.63 : x
  2. Step 2: Convert to fraction form
    373.84/561.77 = 200.63/x
  3. Step 3: Cross multiply
    373.84x = 561.77 × 200.63
  4. Step 4: Simplify right side
    373.84x = 112,707.92
  5. Step 5: Solve for x
    x = 112,707.92/373.84
  6. Step 6: Final answer
    x = 301.49

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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.