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Finding the Fourth Proportional to 204.64, 282.48 and 152.96

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Solution

The fourth proportional to 204.64, 282.48 and 152.96 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.64 : 282.48 = 152.96 : x
  2. Step 2: Convert to fraction form
    204.64/282.48 = 152.96/x
  3. Step 3: Cross multiply
    204.64x = 282.48 × 152.96
  4. Step 4: Simplify right side
    204.64x = 43,208.14
  5. Step 5: Solve for x
    x = 43,208.14/204.64
  6. Step 6: Final answer
    x = 211.14

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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.