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Finding the Fourth Proportional to 178.35, 265.70 and 171.82

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Solution

The fourth proportional to 178.35, 265.70 and 171.82 is: 255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.35 : 265.70 = 171.82 : x
  2. Step 2: Convert to fraction form
    178.35/265.70 = 171.82/x
  3. Step 3: Cross multiply
    178.35x = 265.70 × 171.82
  4. Step 4: Simplify right side
    178.35x = 45,652.57
  5. Step 5: Solve for x
    x = 45,652.57/178.35
  6. Step 6: Final answer
    x = 255.97

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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.