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Finding the Fourth Proportional to 285.56, 394.10 and 175.11

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Solution

The fourth proportional to 285.56, 394.10 and 175.11 is: 241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 394.10 = 175.11 : x
  2. Step 2: Convert to fraction form
    285.56/394.10 = 175.11/x
  3. Step 3: Cross multiply
    285.56x = 394.10 × 175.11
  4. Step 4: Simplify right side
    285.56x = 69,009.15
  5. Step 5: Solve for x
    x = 69,009.15/285.56
  6. Step 6: Final answer
    x = 241.66

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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.