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Finding the Fourth Proportional to 314.34, 433.88 and 203.82

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Solution

The fourth proportional to 314.34, 433.88 and 203.82 is: 281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 433.88 = 203.82 : x
  2. Step 2: Convert to fraction form
    314.34/433.88 = 203.82/x
  3. Step 3: Cross multiply
    314.34x = 433.88 × 203.82
  4. Step 4: Simplify right side
    314.34x = 88,435.77
  5. Step 5: Solve for x
    x = 88,435.77/314.34
  6. Step 6: Final answer
    x = 281.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.