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Finding the Fourth Proportional to 237.48, 327.66 and 175.35

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Solution

The fourth proportional to 237.48, 327.66 and 175.35 is: 241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.48 : 327.66 = 175.35 : x
  2. Step 2: Convert to fraction form
    237.48/327.66 = 175.35/x
  3. Step 3: Cross multiply
    237.48x = 327.66 × 175.35
  4. Step 4: Simplify right side
    237.48x = 57,455.75
  5. Step 5: Solve for x
    x = 57,455.75/237.48
  6. Step 6: Final answer
    x = 241.94

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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.