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Finding the Fourth Proportional to 356.26, 491.59 and 208.87

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Solution

The fourth proportional to 356.26, 491.59 and 208.87 is: 288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.26 : 491.59 = 208.87 : x
  2. Step 2: Convert to fraction form
    356.26/491.59 = 208.87/x
  3. Step 3: Cross multiply
    356.26x = 491.59 × 208.87
  4. Step 4: Simplify right side
    356.26x = 102,678.40
  5. Step 5: Solve for x
    x = 102,678.40/356.26
  6. Step 6: Final answer
    x = 288.21

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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.