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Finding the Fourth Proportional to 357.86, 536.07 and 186.50

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Solution

The fourth proportional to 357.86, 536.07 and 186.50 is: 279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.86 : 536.07 = 186.50 : x
  2. Step 2: Convert to fraction form
    357.86/536.07 = 186.50/x
  3. Step 3: Cross multiply
    357.86x = 536.07 × 186.50
  4. Step 4: Simplify right side
    357.86x = 99,977.06
  5. Step 5: Solve for x
    x = 99,977.06/357.86
  6. Step 6: Final answer
    x = 279.37

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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.