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Finding the Fourth Proportional to 155.86, 214.92 and 151.07

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Solution

The fourth proportional to 155.86, 214.92 and 151.07 is: 208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.86 : 214.92 = 151.07 : x
  2. Step 2: Convert to fraction form
    155.86/214.92 = 151.07/x
  3. Step 3: Cross multiply
    155.86x = 214.92 × 151.07
  4. Step 4: Simplify right side
    155.86x = 32,466.89
  5. Step 5: Solve for x
    x = 32,466.89/155.86
  6. Step 6: Final answer
    x = 208.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.