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Finding the Fourth Proportional to 292.41, 403.52 and 180.29

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Solution

The fourth proportional to 292.41, 403.52 and 180.29 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.41 : 403.52 = 180.29 : x
  2. Step 2: Convert to fraction form
    292.41/403.52 = 180.29/x
  3. Step 3: Cross multiply
    292.41x = 403.52 × 180.29
  4. Step 4: Simplify right side
    292.41x = 72,750.73
  5. Step 5: Solve for x
    x = 72,750.73/292.41
  6. Step 6: Final answer
    x = 248.80

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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.