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Finding the Fourth Proportional to 357.28, 536.16 and 186.24

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Solution

The fourth proportional to 357.28, 536.16 and 186.24 is: 279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 536.16 = 186.24 : x
  2. Step 2: Convert to fraction form
    357.28/536.16 = 186.24/x
  3. Step 3: Cross multiply
    357.28x = 536.16 × 186.24
  4. Step 4: Simplify right side
    357.28x = 99,854.44
  5. Step 5: Solve for x
    x = 99,854.44/357.28
  6. Step 6: Final answer
    x = 279.49

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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.