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Finding the Fourth Proportional to 204.34, 282.06 and 183.58

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Solution

The fourth proportional to 204.34, 282.06 and 183.58 is: 253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.34 : 282.06 = 183.58 : x
  2. Step 2: Convert to fraction form
    204.34/282.06 = 183.58/x
  3. Step 3: Cross multiply
    204.34x = 282.06 × 183.58
  4. Step 4: Simplify right side
    204.34x = 51,780.57
  5. Step 5: Solve for x
    x = 51,780.57/204.34
  6. Step 6: Final answer
    x = 253.40

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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.