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Finding the Fourth Proportional to 342.83, 473.10 and 202.94

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Solution

The fourth proportional to 342.83, 473.10 and 202.94 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.83 : 473.10 = 202.94 : x
  2. Step 2: Convert to fraction form
    342.83/473.10 = 202.94/x
  3. Step 3: Cross multiply
    342.83x = 473.10 × 202.94
  4. Step 4: Simplify right side
    342.83x = 96,008.55
  5. Step 5: Solve for x
    x = 96,008.55/342.83
  6. Step 6: Final answer
    x = 280.05

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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.