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Finding the Fourth Proportional to 357.86, 536.74 and 114.56

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Solution

The fourth proportional to 357.86, 536.74 and 114.56 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.86 : 536.74 = 114.56 : x
  2. Step 2: Convert to fraction form
    357.86/536.74 = 114.56/x
  3. Step 3: Cross multiply
    357.86x = 536.74 × 114.56
  4. Step 4: Simplify right side
    357.86x = 61,488.93
  5. Step 5: Solve for x
    x = 61,488.93/357.86
  6. Step 6: Final answer
    x = 171.82

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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.