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Finding the Fourth Proportional to 357.86, 537.69 and 227.92

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Solution

The fourth proportional to 357.86, 537.69 and 227.92 is: 342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.86 : 537.69 = 227.92 : x
  2. Step 2: Convert to fraction form
    357.86/537.69 = 227.92/x
  3. Step 3: Cross multiply
    357.86x = 537.69 × 227.92
  4. Step 4: Simplify right side
    357.86x = 122,547.62
  5. Step 5: Solve for x
    x = 122,547.62/357.86
  6. Step 6: Final answer
    x = 342.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.