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Finding the Fourth Proportional to 200.22, 275.31 and 171.06

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Solution

The fourth proportional to 200.22, 275.31 and 171.06 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 275.31 = 171.06 : x
  2. Step 2: Convert to fraction form
    200.22/275.31 = 171.06/x
  3. Step 3: Cross multiply
    200.22x = 275.31 × 171.06
  4. Step 4: Simplify right side
    200.22x = 47,094.53
  5. Step 5: Solve for x
    x = 47,094.53/200.22
  6. Step 6: Final answer
    x = 235.21

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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.