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Finding the Fourth Proportional to 250.90, 346.14 and 146.00

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Solution

The fourth proportional to 250.90, 346.14 and 146.00 is: 201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.90 : 346.14 = 146.00 : x
  2. Step 2: Convert to fraction form
    250.90/346.14 = 146.00/x
  3. Step 3: Cross multiply
    250.90x = 346.14 × 146.00
  4. Step 4: Simplify right side
    250.90x = 50,537.31
  5. Step 5: Solve for x
    x = 50,537.31/250.90
  6. Step 6: Final answer
    x = 201.43

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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.