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Finding the Fourth Proportional to 387.66, 581.22 and 171.12

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Solution

The fourth proportional to 387.66, 581.22 and 171.12 is: 256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.66 : 581.22 = 171.12 : x
  2. Step 2: Convert to fraction form
    387.66/581.22 = 171.12/x
  3. Step 3: Cross multiply
    387.66x = 581.22 × 171.12
  4. Step 4: Simplify right side
    387.66x = 99,458.37
  5. Step 5: Solve for x
    x = 99,458.37/387.66
  6. Step 6: Final answer
    x = 256.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.