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Finding the Fourth Proportional to 292.82, 438.42 and 184.82

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Solution

The fourth proportional to 292.82, 438.42 and 184.82 is: 276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.82 : 438.42 = 184.82 : x
  2. Step 2: Convert to fraction form
    292.82/438.42 = 184.82/x
  3. Step 3: Cross multiply
    292.82x = 438.42 × 184.82
  4. Step 4: Simplify right side
    292.82x = 81,028.78
  5. Step 5: Solve for x
    x = 81,028.78/292.82
  6. Step 6: Final answer
    x = 276.72

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Why These Related Problems?

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