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Finding the Fourth Proportional to 310.64, 428.63 and 186.35

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Solution

The fourth proportional to 310.64, 428.63 and 186.35 is: 257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 428.63 = 186.35 : x
  2. Step 2: Convert to fraction form
    310.64/428.63 = 186.35/x
  3. Step 3: Cross multiply
    310.64x = 428.63 × 186.35
  4. Step 4: Simplify right side
    310.64x = 79,872.13
  5. Step 5: Solve for x
    x = 79,872.13/310.64
  6. Step 6: Final answer
    x = 257.13

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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.