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Finding the Fourth Proportional to 243.59, 336.20 and 208.96

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Solution

The fourth proportional to 243.59, 336.20 and 208.96 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.59 : 336.20 = 208.96 : x
  2. Step 2: Convert to fraction form
    243.59/336.20 = 208.96/x
  3. Step 3: Cross multiply
    243.59x = 336.20 × 208.96
  4. Step 4: Simplify right side
    243.59x = 70,252.36
  5. Step 5: Solve for x
    x = 70,252.36/243.59
  6. Step 6: Final answer
    x = 288.40

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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.