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Finding the Fourth Proportional to 468.50, 703.07 and 164.50

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Solution

The fourth proportional to 468.50, 703.07 and 164.50 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 703.07 = 164.50 : x
  2. Step 2: Convert to fraction form
    468.50/703.07 = 164.50/x
  3. Step 3: Cross multiply
    468.50x = 703.07 × 164.50
  4. Step 4: Simplify right side
    468.50x = 115,655.02
  5. Step 5: Solve for x
    x = 115,655.02/468.50
  6. Step 6: Final answer
    x = 246.86

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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.