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Finding the Fourth Proportional to 146.32, 201.75 and 120.00

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Solution

The fourth proportional to 146.32, 201.75 and 120.00 is: 165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.32 : 201.75 = 120.00 : x
  2. Step 2: Convert to fraction form
    146.32/201.75 = 120.00/x
  3. Step 3: Cross multiply
    146.32x = 201.75 × 120.00
  4. Step 4: Simplify right side
    146.32x = 24,209.24
  5. Step 5: Solve for x
    x = 24,209.24/146.32
  6. Step 6: Final answer
    x = 165.45

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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.