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Finding the Fourth Proportional to 373.77, 560.81 and 200.40

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Solution

The fourth proportional to 373.77, 560.81 and 200.40 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.77 : 560.81 = 200.40 : x
  2. Step 2: Convert to fraction form
    373.77/560.81 = 200.40/x
  3. Step 3: Cross multiply
    373.77x = 560.81 × 200.40
  4. Step 4: Simplify right side
    373.77x = 112,384.72
  5. Step 5: Solve for x
    x = 112,384.72/373.77
  6. Step 6: Final answer
    x = 300.68

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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.