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Finding the Fourth Proportional to 314.32, 433.73 and 203.75

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Solution

The fourth proportional to 314.32, 433.73 and 203.75 is: 281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.32 : 433.73 = 203.75 : x
  2. Step 2: Convert to fraction form
    314.32/433.73 = 203.75/x
  3. Step 3: Cross multiply
    314.32x = 433.73 × 203.75
  4. Step 4: Simplify right side
    314.32x = 88,374.08
  5. Step 5: Solve for x
    x = 88,374.08/314.32
  6. Step 6: Final answer
    x = 281.16

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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.