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Finding the Fourth Proportional to 292.98, 404.49 and 182.52

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Solution

The fourth proportional to 292.98, 404.49 and 182.52 is: 251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.98 : 404.49 = 182.52 : x
  2. Step 2: Convert to fraction form
    292.98/404.49 = 182.52/x
  3. Step 3: Cross multiply
    292.98x = 404.49 × 182.52
  4. Step 4: Simplify right side
    292.98x = 73,827.51
  5. Step 5: Solve for x
    x = 73,827.51/292.98
  6. Step 6: Final answer
    x = 251.99

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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.