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Finding the Fourth Proportional to 214.86, 321.95 and 157.01

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Solution

The fourth proportional to 214.86, 321.95 and 157.01 is: 235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.86 : 321.95 = 157.01 : x
  2. Step 2: Convert to fraction form
    214.86/321.95 = 157.01/x
  3. Step 3: Cross multiply
    214.86x = 321.95 × 157.01
  4. Step 4: Simplify right side
    214.86x = 50,550.57
  5. Step 5: Solve for x
    x = 50,550.57/214.86
  6. Step 6: Final answer
    x = 235.27

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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.