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Finding the Fourth Proportional to 254.06, 350.72 and 155.86

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Solution

The fourth proportional to 254.06, 350.72 and 155.86 is: 215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 350.72 = 155.86 : x
  2. Step 2: Convert to fraction form
    254.06/350.72 = 155.86/x
  3. Step 3: Cross multiply
    254.06x = 350.72 × 155.86
  4. Step 4: Simplify right side
    254.06x = 54,663.22
  5. Step 5: Solve for x
    x = 54,663.22/254.06
  6. Step 6: Final answer
    x = 215.16

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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.