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Finding the Fourth Proportional to 255.24, 382.02 and 209.10

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Solution

The fourth proportional to 255.24, 382.02 and 209.10 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 382.02 = 209.10 : x
  2. Step 2: Convert to fraction form
    255.24/382.02 = 209.10/x
  3. Step 3: Cross multiply
    255.24x = 382.02 × 209.10
  4. Step 4: Simplify right side
    255.24x = 79,880.38
  5. Step 5: Solve for x
    x = 79,880.38/255.24
  6. Step 6: Final answer
    x = 312.96

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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.