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Finding the Fourth Proportional to 147.98, 204.03 and 120.30

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Solution

The fourth proportional to 147.98, 204.03 and 120.30 is: 165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 204.03 = 120.30 : x
  2. Step 2: Convert to fraction form
    147.98/204.03 = 120.30/x
  3. Step 3: Cross multiply
    147.98x = 204.03 × 120.30
  4. Step 4: Simplify right side
    147.98x = 24,544.81
  5. Step 5: Solve for x
    x = 24,544.81/147.98
  6. Step 6: Final answer
    x = 165.87

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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.