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Finding the Fourth Proportional to 253.28, 349.80 and 204.32

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Solution

The fourth proportional to 253.28, 349.80 and 204.32 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.28 : 349.80 = 204.32 : x
  2. Step 2: Convert to fraction form
    253.28/349.80 = 204.32/x
  3. Step 3: Cross multiply
    253.28x = 349.80 × 204.32
  4. Step 4: Simplify right side
    253.28x = 71,471.14
  5. Step 5: Solve for x
    x = 71,471.14/253.28
  6. Step 6: Final answer
    x = 282.18

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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.