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Finding the Fourth Proportional to 373.76, 560.34 and 200.34

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Solution

The fourth proportional to 373.76, 560.34 and 200.34 is: 300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.76 : 560.34 = 200.34 : x
  2. Step 2: Convert to fraction form
    373.76/560.34 = 200.34/x
  3. Step 3: Cross multiply
    373.76x = 560.34 × 200.34
  4. Step 4: Simplify right side
    373.76x = 112,258.52
  5. Step 5: Solve for x
    x = 112,258.52/373.76
  6. Step 6: Final answer
    x = 300.35

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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.