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Finding the Fourth Proportional to 255.80, 381.59 and 234.04

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Solution

The fourth proportional to 255.80, 381.59 and 234.04 is: 349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.80 : 381.59 = 234.04 : x
  2. Step 2: Convert to fraction form
    255.80/381.59 = 234.04/x
  3. Step 3: Cross multiply
    255.80x = 381.59 × 234.04
  4. Step 4: Simplify right side
    255.80x = 89,307.32
  5. Step 5: Solve for x
    x = 89,307.32/255.80
  6. Step 6: Final answer
    x = 349.13

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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.