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Finding the Fourth Proportional to 315.90, 436.14 and 250.20

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Solution

The fourth proportional to 315.90, 436.14 and 250.20 is: 345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.90 : 436.14 = 250.20 : x
  2. Step 2: Convert to fraction form
    315.90/436.14 = 250.20/x
  3. Step 3: Cross multiply
    315.90x = 436.14 × 250.20
  4. Step 4: Simplify right side
    315.90x = 109,122.23
  5. Step 5: Solve for x
    x = 109,122.23/315.90
  6. Step 6: Final answer
    x = 345.43

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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.