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Finding the Fourth Proportional to 356.24, 491.51 and 208.78

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Solution

The fourth proportional to 356.24, 491.51 and 208.78 is: 288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 491.51 = 208.78 : x
  2. Step 2: Convert to fraction form
    356.24/491.51 = 208.78/x
  3. Step 3: Cross multiply
    356.24x = 491.51 × 208.78
  4. Step 4: Simplify right side
    356.24x = 102,616.75
  5. Step 5: Solve for x
    x = 102,616.75/356.24
  6. Step 6: Final answer
    x = 288.05

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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.