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Finding the Fourth Proportional to 342.10, 471.81 and 254.98

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Solution

The fourth proportional to 342.10, 471.81 and 254.98 is: 351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.10 : 471.81 = 254.98 : x
  2. Step 2: Convert to fraction form
    342.10/471.81 = 254.98/x
  3. Step 3: Cross multiply
    342.10x = 471.81 × 254.98
  4. Step 4: Simplify right side
    342.10x = 120,302.11
  5. Step 5: Solve for x
    x = 120,302.11/342.10
  6. Step 6: Final answer
    x = 351.66

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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.