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Finding the Fourth Proportional to 257.46, 383.93 and 225.06

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Solution

The fourth proportional to 257.46, 383.93 and 225.06 is: 335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 383.93 = 225.06 : x
  2. Step 2: Convert to fraction form
    257.46/383.93 = 225.06/x
  3. Step 3: Cross multiply
    257.46x = 383.93 × 225.06
  4. Step 4: Simplify right side
    257.46x = 86,406.16
  5. Step 5: Solve for x
    x = 86,406.16/257.46
  6. Step 6: Final answer
    x = 335.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.