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Finding the Fourth Proportional to 147.50, 203.46 and 98.36

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Solution

The fourth proportional to 147.50, 203.46 and 98.36 is: 135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.50 : 203.46 = 98.36 : x
  2. Step 2: Convert to fraction form
    147.50/203.46 = 98.36/x
  3. Step 3: Cross multiply
    147.50x = 203.46 × 98.36
  4. Step 4: Simplify right side
    147.50x = 20,012.33
  5. Step 5: Solve for x
    x = 20,012.33/147.50
  6. Step 6: Final answer
    x = 135.68

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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.