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Finding the Fourth Proportional to 253.83, 378.25 and 251.70

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Solution

The fourth proportional to 253.83, 378.25 and 251.70 is: 375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.83 : 378.25 = 251.70 : x
  2. Step 2: Convert to fraction form
    253.83/378.25 = 251.70/x
  3. Step 3: Cross multiply
    253.83x = 378.25 × 251.70
  4. Step 4: Simplify right side
    253.83x = 95,205.53
  5. Step 5: Solve for x
    x = 95,205.53/253.83
  6. Step 6: Final answer
    x = 375.08

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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.