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Finding the Fourth Proportional to 228.68, 342.72 and 209

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Solution

The fourth proportional to 228.68, 342.72 and 209 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.68 : 342.72 = 209 : x
  2. Step 2: Convert to fraction form
    228.68/342.72 = 209/x
  3. Step 3: Cross multiply
    228.68x = 342.72 × 209
  4. Step 4: Simplify right side
    228.68x = 71,628.48
  5. Step 5: Solve for x
    x = 71,628.48/228.68
  6. Step 6: Final answer
    x = 313.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.