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Finding the Fourth Proportional to 256.97, 354.66 and 183.31

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Solution

The fourth proportional to 256.97, 354.66 and 183.31 is: 253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 354.66 = 183.31 : x
  2. Step 2: Convert to fraction form
    256.97/354.66 = 183.31/x
  3. Step 3: Cross multiply
    256.97x = 354.66 × 183.31
  4. Step 4: Simplify right side
    256.97x = 65,012.72
  5. Step 5: Solve for x
    x = 65,012.72/256.97
  6. Step 6: Final answer
    x = 253.00

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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.