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Finding the Fourth Proportional to 146.02, 217.65 and 135.08

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Solution

The fourth proportional to 146.02, 217.65 and 135.08 is: 201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.02 : 217.65 = 135.08 : x
  2. Step 2: Convert to fraction form
    146.02/217.65 = 135.08/x
  3. Step 3: Cross multiply
    146.02x = 217.65 × 135.08
  4. Step 4: Simplify right side
    146.02x = 29,400.16
  5. Step 5: Solve for x
    x = 29,400.16/146.02
  6. Step 6: Final answer
    x = 201.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.