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Finding the Fourth Proportional to 292.12, 403.09 and 185.74

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Solution

The fourth proportional to 292.12, 403.09 and 185.74 is: 256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.12 : 403.09 = 185.74 : x
  2. Step 2: Convert to fraction form
    292.12/403.09 = 185.74/x
  3. Step 3: Cross multiply
    292.12x = 403.09 × 185.74
  4. Step 4: Simplify right side
    292.12x = 74,869.94
  5. Step 5: Solve for x
    x = 74,869.94/292.12
  6. Step 6: Final answer
    x = 256.30

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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.