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Finding the Fourth Proportional to 356.10, 491.43 and 208.72

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Solution

The fourth proportional to 356.10, 491.43 and 208.72 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.10 : 491.43 = 208.72 : x
  2. Step 2: Convert to fraction form
    356.10/491.43 = 208.72/x
  3. Step 3: Cross multiply
    356.10x = 491.43 × 208.72
  4. Step 4: Simplify right side
    356.10x = 102,571.27
  5. Step 5: Solve for x
    x = 102,571.27/356.10
  6. Step 6: Final answer
    x = 288.04

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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.