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Finding the Fourth Proportional to 177, 264.25 and 156.66

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Solution

The fourth proportional to 177, 264.25 and 156.66 is: 233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 264.25 = 156.66 : x
  2. Step 2: Convert to fraction form
    177/264.25 = 156.66/x
  3. Step 3: Cross multiply
    177x = 264.25 × 156.66
  4. Step 4: Simplify right side
    177x = 41,397.41
  5. Step 5: Solve for x
    x = 41,397.41/177
  6. Step 6: Final answer
    x = 233.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.