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Finding the Fourth Proportional to 148.37, 204.73 and 86.20

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Solution

The fourth proportional to 148.37, 204.73 and 86.20 is: 118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.37 : 204.73 = 86.20 : x
  2. Step 2: Convert to fraction form
    148.37/204.73 = 86.20/x
  3. Step 3: Cross multiply
    148.37x = 204.73 × 86.20
  4. Step 4: Simplify right side
    148.37x = 17,647.00
  5. Step 5: Solve for x
    x = 17,647.00/148.37
  6. Step 6: Final answer
    x = 118.94

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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.