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Finding the Fourth Proportional to 368.96, 509.19 and 211.61

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Solution

The fourth proportional to 368.96, 509.19 and 211.61 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.96 : 509.19 = 211.61 : x
  2. Step 2: Convert to fraction form
    368.96/509.19 = 211.61/x
  3. Step 3: Cross multiply
    368.96x = 509.19 × 211.61
  4. Step 4: Simplify right side
    368.96x = 107,750.18
  5. Step 5: Solve for x
    x = 107,750.18/368.96
  6. Step 6: Final answer
    x = 292.04

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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.