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Finding the Fourth Proportional to 310.34, 428.45 and 186.04

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Solution

The fourth proportional to 310.34, 428.45 and 186.04 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 428.45 = 186.04 : x
  2. Step 2: Convert to fraction form
    310.34/428.45 = 186.04/x
  3. Step 3: Cross multiply
    310.34x = 428.45 × 186.04
  4. Step 4: Simplify right side
    310.34x = 79,705.77
  5. Step 5: Solve for x
    x = 79,705.77/310.34
  6. Step 6: Final answer
    x = 256.84

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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.