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Finding the Fourth Proportional to 204.23, 305.86 and 117.30

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Solution

The fourth proportional to 204.23, 305.86 and 117.30 is: 175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.23 : 305.86 = 117.30 : x
  2. Step 2: Convert to fraction form
    204.23/305.86 = 117.30/x
  3. Step 3: Cross multiply
    204.23x = 305.86 × 117.30
  4. Step 4: Simplify right side
    204.23x = 35,877.38
  5. Step 5: Solve for x
    x = 35,877.38/204.23
  6. Step 6: Final answer
    x = 175.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.