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Finding the Fourth Proportional to 342.02, 471.78 and 237.12

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Solution

The fourth proportional to 342.02, 471.78 and 237.12 is: 327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.02 : 471.78 = 237.12 : x
  2. Step 2: Convert to fraction form
    342.02/471.78 = 237.12/x
  3. Step 3: Cross multiply
    342.02x = 471.78 × 237.12
  4. Step 4: Simplify right side
    342.02x = 111,865.82
  5. Step 5: Solve for x
    x = 111,865.82/342.02
  6. Step 6: Final answer
    x = 327.07

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