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Finding the Fourth Proportional to 310.00, 427.78 and 170.11

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Solution

The fourth proportional to 310.00, 427.78 and 170.11 is: 234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.00 : 427.78 = 170.11 : x
  2. Step 2: Convert to fraction form
    310.00/427.78 = 170.11/x
  3. Step 3: Cross multiply
    310.00x = 427.78 × 170.11
  4. Step 4: Simplify right side
    310.00x = 72,768.81
  5. Step 5: Solve for x
    x = 72,768.81/310.00
  6. Step 6: Final answer
    x = 234.74

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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.