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Finding the Fourth Proportional to 177.90, 268.31 and 177.90

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Solution

The fourth proportional to 177.90, 268.31 and 177.90 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.90 : 268.31 = 177.90 : x
  2. Step 2: Convert to fraction form
    177.90/268.31 = 177.90/x
  3. Step 3: Cross multiply
    177.90x = 268.31 × 177.90
  4. Step 4: Simplify right side
    177.90x = 47,731.46
  5. Step 5: Solve for x
    x = 47,731.46/177.90
  6. Step 6: Final answer
    x = 268.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.