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Finding the Fourth Proportional to 285.96, 394.56 and 175.48

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Solution

The fourth proportional to 285.96, 394.56 and 175.48 is: 242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.96 : 394.56 = 175.48 : x
  2. Step 2: Convert to fraction form
    285.96/394.56 = 175.48/x
  3. Step 3: Cross multiply
    285.96x = 394.56 × 175.48
  4. Step 4: Simplify right side
    285.96x = 69,237.39
  5. Step 5: Solve for x
    x = 69,237.39/285.96
  6. Step 6: Final answer
    x = 242.12

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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.