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Finding the Fourth Proportional to 204.48, 282 and 146.16

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Solution

The fourth proportional to 204.48, 282 and 146.16 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.48 : 282 = 146.16 : x
  2. Step 2: Convert to fraction form
    204.48/282 = 146.16/x
  3. Step 3: Cross multiply
    204.48x = 282 × 146.16
  4. Step 4: Simplify right side
    204.48x = 41,217.12
  5. Step 5: Solve for x
    x = 41,217.12/204.48
  6. Step 6: Final answer
    x = 201.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.