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Finding the Fourth Proportional to 342.56, 472.84 and 202.67

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Solution

The fourth proportional to 342.56, 472.84 and 202.67 is: 279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 472.84 = 202.67 : x
  2. Step 2: Convert to fraction form
    342.56/472.84 = 202.67/x
  3. Step 3: Cross multiply
    342.56x = 472.84 × 202.67
  4. Step 4: Simplify right side
    342.56x = 95,830.48
  5. Step 5: Solve for x
    x = 95,830.48/342.56
  6. Step 6: Final answer
    x = 279.75

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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.