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Finding the Fourth Proportional to 356.50, 491.85 and 209.14

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Solution

The fourth proportional to 356.50, 491.85 and 209.14 is: 288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.50 : 491.85 = 209.14 : x
  2. Step 2: Convert to fraction form
    356.50/491.85 = 209.14/x
  3. Step 3: Cross multiply
    356.50x = 491.85 × 209.14
  4. Step 4: Simplify right side
    356.50x = 102,865.51
  5. Step 5: Solve for x
    x = 102,865.51/356.50
  6. Step 6: Final answer
    x = 288.54

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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.