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Finding the Fourth Proportional to 366.19, 505.34 and 210.94

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Solution

The fourth proportional to 366.19, 505.34 and 210.94 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.19 : 505.34 = 210.94 : x
  2. Step 2: Convert to fraction form
    366.19/505.34 = 210.94/x
  3. Step 3: Cross multiply
    366.19x = 505.34 × 210.94
  4. Step 4: Simplify right side
    366.19x = 106,594.89
  5. Step 5: Solve for x
    x = 106,594.89/366.19
  6. Step 6: Final answer
    x = 291.09

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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.