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Finding the Fourth Proportional to 257.84, 354.75 and 225.17

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Solution

The fourth proportional to 257.84, 354.75 and 225.17 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 354.75 = 225.17 : x
  2. Step 2: Convert to fraction form
    257.84/354.75 = 225.17/x
  3. Step 3: Cross multiply
    257.84x = 354.75 × 225.17
  4. Step 4: Simplify right side
    257.84x = 79,879.06
  5. Step 5: Solve for x
    x = 79,879.06/257.84
  6. Step 6: Final answer
    x = 309.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.