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Finding the Fourth Proportional to 146.16, 201.86 and 113.80

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Solution

The fourth proportional to 146.16, 201.86 and 113.80 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 201.86 = 113.80 : x
  2. Step 2: Convert to fraction form
    146.16/201.86 = 113.80/x
  3. Step 3: Cross multiply
    146.16x = 201.86 × 113.80
  4. Step 4: Simplify right side
    146.16x = 22,971.67
  5. Step 5: Solve for x
    x = 22,971.67/146.16
  6. Step 6: Final answer
    x = 157.17

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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.