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Finding the Fourth Proportional to 310.47, 428.43 and 186.07

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Solution

The fourth proportional to 310.47, 428.43 and 186.07 is: 256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.47 : 428.43 = 186.07 : x
  2. Step 2: Convert to fraction form
    310.47/428.43 = 186.07/x
  3. Step 3: Cross multiply
    310.47x = 428.43 × 186.07
  4. Step 4: Simplify right side
    310.47x = 79,715.83
  5. Step 5: Solve for x
    x = 79,715.83/310.47
  6. Step 6: Final answer
    x = 256.76

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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.