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Finding the Fourth Proportional to 292.75, 438.45 and 170.78

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Solution

The fourth proportional to 292.75, 438.45 and 170.78 is: 255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 438.45 = 170.78 : x
  2. Step 2: Convert to fraction form
    292.75/438.45 = 170.78/x
  3. Step 3: Cross multiply
    292.75x = 438.45 × 170.78
  4. Step 4: Simplify right side
    292.75x = 74,875.66
  5. Step 5: Solve for x
    x = 74,875.66/292.75
  6. Step 6: Final answer
    x = 255.77

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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.