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Finding the Fourth Proportional to 261.50, 390.24 and 255.33

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Solution

The fourth proportional to 261.50, 390.24 and 255.33 is: 381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 390.24 = 255.33 : x
  2. Step 2: Convert to fraction form
    261.50/390.24 = 255.33/x
  3. Step 3: Cross multiply
    261.50x = 390.24 × 255.33
  4. Step 4: Simplify right side
    261.50x = 99,639.98
  5. Step 5: Solve for x
    x = 99,639.98/261.50
  6. Step 6: Final answer
    x = 381.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.