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Finding the Fourth Proportional to 489.50, 734.25 and 147.50

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Solution

The fourth proportional to 489.50, 734.25 and 147.50 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.50 : 734.25 = 147.50 : x
  2. Step 2: Convert to fraction form
    489.50/734.25 = 147.50/x
  3. Step 3: Cross multiply
    489.50x = 734.25 × 147.50
  4. Step 4: Simplify right side
    489.50x = 108,301.88
  5. Step 5: Solve for x
    x = 108,301.88/489.50
  6. Step 6: Final answer
    x = 221.25

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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.