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Finding the Fourth Proportional to 292.78, 438.46 and 170.68

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Solution

The fourth proportional to 292.78, 438.46 and 170.68 is: 255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 438.46 = 170.68 : x
  2. Step 2: Convert to fraction form
    292.78/438.46 = 170.68/x
  3. Step 3: Cross multiply
    292.78x = 438.46 × 170.68
  4. Step 4: Simplify right side
    292.78x = 74,836.35
  5. Step 5: Solve for x
    x = 74,836.35/292.78
  6. Step 6: Final answer
    x = 255.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.