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Finding the Fourth Proportional to 401.80, 602.56 and 185.24

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Solution

The fourth proportional to 401.80, 602.56 and 185.24 is: 277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.80 : 602.56 = 185.24 : x
  2. Step 2: Convert to fraction form
    401.80/602.56 = 185.24/x
  3. Step 3: Cross multiply
    401.80x = 602.56 × 185.24
  4. Step 4: Simplify right side
    401.80x = 111,618.21
  5. Step 5: Solve for x
    x = 111,618.21/401.80
  6. Step 6: Final answer
    x = 277.80

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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.