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Finding the Fourth Proportional to 342.96, 473.26 and 203.08

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Solution

The fourth proportional to 342.96, 473.26 and 203.08 is: 280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 473.26 = 203.08 : x
  2. Step 2: Convert to fraction form
    342.96/473.26 = 203.08/x
  3. Step 3: Cross multiply
    342.96x = 473.26 × 203.08
  4. Step 4: Simplify right side
    342.96x = 96,109.64
  5. Step 5: Solve for x
    x = 96,109.64/342.96
  6. Step 6: Final answer
    x = 280.24

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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.