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Finding the Fourth Proportional to 146.76, 202.61 and 117.16

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Solution

The fourth proportional to 146.76, 202.61 and 117.16 is: 161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.76 : 202.61 = 117.16 : x
  2. Step 2: Convert to fraction form
    146.76/202.61 = 117.16/x
  3. Step 3: Cross multiply
    146.76x = 202.61 × 117.16
  4. Step 4: Simplify right side
    146.76x = 23,738.02
  5. Step 5: Solve for x
    x = 23,738.02/146.76
  6. Step 6: Final answer
    x = 161.75

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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.