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Finding the Fourth Proportional to 373.34, 561.02 and 200.13

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Solution

The fourth proportional to 373.34, 561.02 and 200.13 is: 300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.34 : 561.02 = 200.13 : x
  2. Step 2: Convert to fraction form
    373.34/561.02 = 200.13/x
  3. Step 3: Cross multiply
    373.34x = 561.02 × 200.13
  4. Step 4: Simplify right side
    373.34x = 112,275.93
  5. Step 5: Solve for x
    x = 112,275.93/373.34
  6. Step 6: Final answer
    x = 300.74

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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.