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Finding the Fourth Proportional to 314.50, 433.75 and 202.49

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Solution

The fourth proportional to 314.50, 433.75 and 202.49 is: 279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.50 : 433.75 = 202.49 : x
  2. Step 2: Convert to fraction form
    314.50/433.75 = 202.49/x
  3. Step 3: Cross multiply
    314.50x = 433.75 × 202.49
  4. Step 4: Simplify right side
    314.50x = 87,827.94
  5. Step 5: Solve for x
    x = 87,827.94/314.50
  6. Step 6: Final answer
    x = 279.26

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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.