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Finding the Fourth Proportional to 342.84, 473.08 and 202.96

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Solution

The fourth proportional to 342.84, 473.08 and 202.96 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 473.08 = 202.96 : x
  2. Step 2: Convert to fraction form
    342.84/473.08 = 202.96/x
  3. Step 3: Cross multiply
    342.84x = 473.08 × 202.96
  4. Step 4: Simplify right side
    342.84x = 96,016.32
  5. Step 5: Solve for x
    x = 96,016.32/342.84
  6. Step 6: Final answer
    x = 280.06

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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.