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Finding the Fourth Proportional to 292.15, 403.19 and 185.79

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Solution

The fourth proportional to 292.15, 403.19 and 185.79 is: 256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 403.19 = 185.79 : x
  2. Step 2: Convert to fraction form
    292.15/403.19 = 185.79/x
  3. Step 3: Cross multiply
    292.15x = 403.19 × 185.79
  4. Step 4: Simplify right side
    292.15x = 74,909.13
  5. Step 5: Solve for x
    x = 74,909.13/292.15
  6. Step 6: Final answer
    x = 256.41

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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.