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Finding the Fourth Proportional to 204.19, 282.23 and 176.50

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Solution

The fourth proportional to 204.19, 282.23 and 176.50 is: 243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 282.23 = 176.50 : x
  2. Step 2: Convert to fraction form
    204.19/282.23 = 176.50/x
  3. Step 3: Cross multiply
    204.19x = 282.23 × 176.50
  4. Step 4: Simplify right side
    204.19x = 49,813.13
  5. Step 5: Solve for x
    x = 49,813.13/204.19
  6. Step 6: Final answer
    x = 243.96

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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.