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Finding the Fourth Proportional to 146.46, 201.64 and 138.76

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Solution

The fourth proportional to 146.46, 201.64 and 138.76 is: 191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 201.64 = 138.76 : x
  2. Step 2: Convert to fraction form
    146.46/201.64 = 138.76/x
  3. Step 3: Cross multiply
    146.46x = 201.64 × 138.76
  4. Step 4: Simplify right side
    146.46x = 27,980.11
  5. Step 5: Solve for x
    x = 27,980.11/146.46
  6. Step 6: Final answer
    x = 191.05

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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.