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Finding the Fourth Proportional to 200.34, 298.82 and 188.91

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Solution

The fourth proportional to 200.34, 298.82 and 188.91 is: 281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 298.82 = 188.91 : x
  2. Step 2: Convert to fraction form
    200.34/298.82 = 188.91/x
  3. Step 3: Cross multiply
    200.34x = 298.82 × 188.91
  4. Step 4: Simplify right side
    200.34x = 56,449.14
  5. Step 5: Solve for x
    x = 56,449.14/200.34
  6. Step 6: Final answer
    x = 281.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.