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Finding the Fourth Proportional to 204.64, 282.01 and 146.32

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Solution

The fourth proportional to 204.64, 282.01 and 146.32 is: 201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.64 : 282.01 = 146.32 : x
  2. Step 2: Convert to fraction form
    204.64/282.01 = 146.32/x
  3. Step 3: Cross multiply
    204.64x = 282.01 × 146.32
  4. Step 4: Simplify right side
    204.64x = 41,261.93
  5. Step 5: Solve for x
    x = 41,261.93/204.64
  6. Step 6: Final answer
    x = 201.64

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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.