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Finding the Fourth Proportional to 146.40, 202.12 and 140.64

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Solution

The fourth proportional to 146.40, 202.12 and 140.64 is: 194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 202.12 = 140.64 : x
  2. Step 2: Convert to fraction form
    146.40/202.12 = 140.64/x
  3. Step 3: Cross multiply
    146.40x = 202.12 × 140.64
  4. Step 4: Simplify right side
    146.40x = 28,426.16
  5. Step 5: Solve for x
    x = 28,426.16/146.40
  6. Step 6: Final answer
    x = 194.17

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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.