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Finding the Fourth Proportional to 292.87, 404.15 and 182.35

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Solution

The fourth proportional to 292.87, 404.15 and 182.35 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.87 : 404.15 = 182.35 : x
  2. Step 2: Convert to fraction form
    292.87/404.15 = 182.35/x
  3. Step 3: Cross multiply
    292.87x = 404.15 × 182.35
  4. Step 4: Simplify right side
    292.87x = 73,696.75
  5. Step 5: Solve for x
    x = 73,696.75/292.87
  6. Step 6: Final answer
    x = 251.64

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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.