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Finding the Fourth Proportional to 395.50, 592.98 and 200.26

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Solution

The fourth proportional to 395.50, 592.98 and 200.26 is: 300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.50 : 592.98 = 200.26 : x
  2. Step 2: Convert to fraction form
    395.50/592.98 = 200.26/x
  3. Step 3: Cross multiply
    395.50x = 592.98 × 200.26
  4. Step 4: Simplify right side
    395.50x = 118,750.17
  5. Step 5: Solve for x
    x = 118,750.17/395.50
  6. Step 6: Final answer
    x = 300.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.