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Finding the Fourth Proportional to 204.58, 307.58 and 188.38

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Solution

The fourth proportional to 204.58, 307.58 and 188.38 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.58 : 307.58 = 188.38 : x
  2. Step 2: Convert to fraction form
    204.58/307.58 = 188.38/x
  3. Step 3: Cross multiply
    204.58x = 307.58 × 188.38
  4. Step 4: Simplify right side
    204.58x = 57,940.69
  5. Step 5: Solve for x
    x = 57,940.69/204.58
  6. Step 6: Final answer
    x = 283.22

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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.