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Finding the Fourth Proportional to 250.83, 346.09 and 145.93

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Solution

The fourth proportional to 250.83, 346.09 and 145.93 is: 201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.83 : 346.09 = 145.93 : x
  2. Step 2: Convert to fraction form
    250.83/346.09 = 145.93/x
  3. Step 3: Cross multiply
    250.83x = 346.09 × 145.93
  4. Step 4: Simplify right side
    250.83x = 50,504.91
  5. Step 5: Solve for x
    x = 50,504.91/250.83
  6. Step 6: Final answer
    x = 201.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.