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Finding the Fourth Proportional to 406.50, 609.75 and 102.50

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Solution

The fourth proportional to 406.50, 609.75 and 102.50 is: 153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 609.75 = 102.50 : x
  2. Step 2: Convert to fraction form
    406.50/609.75 = 102.50/x
  3. Step 3: Cross multiply
    406.50x = 609.75 × 102.50
  4. Step 4: Simplify right side
    406.50x = 62,499.38
  5. Step 5: Solve for x
    x = 62,499.38/406.50
  6. Step 6: Final answer
    x = 153.75

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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.