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Finding the Fourth Proportional to 362.50, 500.26 and 207.26

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Solution

The fourth proportional to 362.50, 500.26 and 207.26 is: 286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.50 : 500.26 = 207.26 : x
  2. Step 2: Convert to fraction form
    362.50/500.26 = 207.26/x
  3. Step 3: Cross multiply
    362.50x = 500.26 × 207.26
  4. Step 4: Simplify right side
    362.50x = 103,683.89
  5. Step 5: Solve for x
    x = 103,683.89/362.50
  6. Step 6: Final answer
    x = 286.02

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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.