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Finding the Fourth Proportional to 357.99, 536.42 and 227.58

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Solution

The fourth proportional to 357.99, 536.42 and 227.58 is: 341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.99 : 536.42 = 227.58 : x
  2. Step 2: Convert to fraction form
    357.99/536.42 = 227.58/x
  3. Step 3: Cross multiply
    357.99x = 536.42 × 227.58
  4. Step 4: Simplify right side
    357.99x = 122,079.03
  5. Step 5: Solve for x
    x = 122,079.03/357.99
  6. Step 6: Final answer
    x = 341.01

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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.