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Finding the Fourth Proportional to 285.56, 394.17 and 186.01

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Solution

The fourth proportional to 285.56, 394.17 and 186.01 is: 256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 394.17 = 186.01 : x
  2. Step 2: Convert to fraction form
    285.56/394.17 = 186.01/x
  3. Step 3: Cross multiply
    285.56x = 394.17 × 186.01
  4. Step 4: Simplify right side
    285.56x = 73,319.56
  5. Step 5: Solve for x
    x = 73,319.56/285.56
  6. Step 6: Final answer
    x = 256.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.