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Finding the Fourth Proportional to 310.01, 427.80 and 185.68

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Solution

The fourth proportional to 310.01, 427.80 and 185.68 is: 256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.01 : 427.80 = 185.68 : x
  2. Step 2: Convert to fraction form
    310.01/427.80 = 185.68/x
  3. Step 3: Cross multiply
    310.01x = 427.80 × 185.68
  4. Step 4: Simplify right side
    310.01x = 79,433.90
  5. Step 5: Solve for x
    x = 79,433.90/310.01
  6. Step 6: Final answer
    x = 256.23

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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.