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Finding the Fourth Proportional to 204.02, 305.75 and 117.38

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Solution

The fourth proportional to 204.02, 305.75 and 117.38 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 305.75 = 117.38 : x
  2. Step 2: Convert to fraction form
    204.02/305.75 = 117.38/x
  3. Step 3: Cross multiply
    204.02x = 305.75 × 117.38
  4. Step 4: Simplify right side
    204.02x = 35,886.82
  5. Step 5: Solve for x
    x = 35,886.82/204.02
  6. Step 6: Final answer
    x = 175.90

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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.