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Finding the Fourth Proportional to 342.93, 473.17 and 203.05

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Solution

The fourth proportional to 342.93, 473.17 and 203.05 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.93 : 473.17 = 203.05 : x
  2. Step 2: Convert to fraction form
    342.93/473.17 = 203.05/x
  3. Step 3: Cross multiply
    342.93x = 473.17 × 203.05
  4. Step 4: Simplify right side
    342.93x = 96,077.17
  5. Step 5: Solve for x
    x = 96,077.17/342.93
  6. Step 6: Final answer
    x = 280.17

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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.