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Finding the Fourth Proportional to 401.63, 602.17 and 185.09

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Solution

The fourth proportional to 401.63, 602.17 and 185.09 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 602.17 = 185.09 : x
  2. Step 2: Convert to fraction form
    401.63/602.17 = 185.09/x
  3. Step 3: Cross multiply
    401.63x = 602.17 × 185.09
  4. Step 4: Simplify right side
    401.63x = 111,452.17
  5. Step 5: Solve for x
    x = 111,452.17/401.63
  6. Step 6: Final answer
    x = 277.50

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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.