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Finding the Fourth Proportional to 257.00, 354.69 and 187.29

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Solution

The fourth proportional to 257.00, 354.69 and 187.29 is: 258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.00 : 354.69 = 187.29 : x
  2. Step 2: Convert to fraction form
    257.00/354.69 = 187.29/x
  3. Step 3: Cross multiply
    257.00x = 354.69 × 187.29
  4. Step 4: Simplify right side
    257.00x = 66,429.89
  5. Step 5: Solve for x
    x = 66,429.89/257.00
  6. Step 6: Final answer
    x = 258.49

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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.